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Finding the Fourth Proportional to 149,785.09, 224,747.10 and 65,534.15

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Solution

The fourth proportional to 149,785.09, 224,747.10 and 65,534.15 is: 98,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,785.09 : 224,747.10 = 65,534.15 : x
  2. Step 2: Convert to fraction form
    149,785.09/224,747.10 = 65,534.15/x
  3. Step 3: Cross multiply
    149,785.09x = 224,747.10 × 65,534.15
  4. Step 4: Simplify right side
    149,785.09x = 14,728,610,163.47
  5. Step 5: Solve for x
    x = 14,728,610,163.47/149,785.09
  6. Step 6: Final answer
    x = 98,331.62

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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.