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Finding the Fourth Proportional to 150,073.16, 224,917.16 and 65,810.48

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Solution

The fourth proportional to 150,073.16, 224,917.16 and 65,810.48 is: 98,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,073.16 : 224,917.16 = 65,810.48 : x
  2. Step 2: Convert to fraction form
    150,073.16/224,917.16 = 65,810.48/x
  3. Step 3: Cross multiply
    150,073.16x = 224,917.16 × 65,810.48
  4. Step 4: Simplify right side
    150,073.16x = 14,801,904,806.20
  5. Step 5: Solve for x
    x = 14,801,904,806.20/150,073.16
  6. Step 6: Final answer
    x = 98,631.26

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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.