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Finding the Fourth Proportional to 101,730.20, 152,303.70 and 98,814.20

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Solution

The fourth proportional to 101,730.20, 152,303.70 and 98,814.20 is: 147,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,730.20 : 152,303.70 = 98,814.20 : x
  2. Step 2: Convert to fraction form
    101,730.20/152,303.70 = 98,814.20/x
  3. Step 3: Cross multiply
    101,730.20x = 152,303.70 × 98,814.20
  4. Step 4: Simplify right side
    101,730.20x = 15,049,768,272.54
  5. Step 5: Solve for x
    x = 15,049,768,272.54/101,730.20
  6. Step 6: Final answer
    x = 147,938.06

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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.