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Finding the Fourth Proportional to 102,550,652.10, 153,825,978.15 and 98,967,471.30

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Solution

The fourth proportional to 102,550,652.10, 153,825,978.15 and 98,967,471.30 is: 148,451,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,550,652.10 : 153,825,978.15 = 98,967,471.30 : x
  2. Step 2: Convert to fraction form
    102,550,652.10/153,825,978.15 = 98,967,471.30/x
  3. Step 3: Cross multiply
    102,550,652.10x = 153,825,978.15 × 98,967,471.30
  4. Step 4: Simplify right side
    102,550,652.10x = 15,223,768,077,754,552
  5. Step 5: Solve for x
    x = 15,223,768,077,754,552/102,550,652.10
  6. Step 6: Final answer
    x = 148,451,206.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.