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Finding the Fourth Proportional to 475,099.75, 712,694.88 and 133,542.29

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Solution

The fourth proportional to 475,099.75, 712,694.88 and 133,542.29 is: 200,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,099.75 : 712,694.88 = 133,542.29 : x
  2. Step 2: Convert to fraction form
    475,099.75/712,694.88 = 133,542.29/x
  3. Step 3: Cross multiply
    475,099.75x = 712,694.88 × 133,542.29
  4. Step 4: Simplify right side
    475,099.75x = 95,174,908,128.21
  5. Step 5: Solve for x
    x = 95,174,908,128.21/475,099.75
  6. Step 6: Final answer
    x = 200,326.16

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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.