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Finding the Fourth Proportional to 102,546.70, 153,820.05 and 43,362.70

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Solution

The fourth proportional to 102,546.70, 153,820.05 and 43,362.70 is: 65,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,546.70 : 153,820.05 = 43,362.70 : x
  2. Step 2: Convert to fraction form
    102,546.70/153,820.05 = 43,362.70/x
  3. Step 3: Cross multiply
    102,546.70x = 153,820.05 × 43,362.70
  4. Step 4: Simplify right side
    102,546.70x = 6,670,052,682.14
  5. Step 5: Solve for x
    x = 6,670,052,682.14/102,546.70
  6. Step 6: Final answer
    x = 65,044.05

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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.