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Finding the Fourth Proportional to 493,147.71, 739,693.82 and 133,313.24

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Solution

The fourth proportional to 493,147.71, 739,693.82 and 133,313.24 is: 199,962.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,147.71 : 739,693.82 = 133,313.24 : x
  2. Step 2: Convert to fraction form
    493,147.71/739,693.82 = 133,313.24/x
  3. Step 3: Cross multiply
    493,147.71x = 739,693.82 × 133,313.24
  4. Step 4: Simplify right side
    493,147.71x = 98,610,981,934.69
  5. Step 5: Solve for x
    x = 98,610,981,934.69/493,147.71
  6. Step 6: Final answer
    x = 199,962.36

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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.