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Finding the Fourth Proportional to 532,123.78, 798,318.15 and 158,136.58

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Solution

The fourth proportional to 532,123.78, 798,318.15 and 158,136.58 is: 237,244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,123.78 : 798,318.15 = 158,136.58 : x
  2. Step 2: Convert to fraction form
    532,123.78/798,318.15 = 158,136.58/x
  3. Step 3: Cross multiply
    532,123.78x = 798,318.15 × 158,136.58
  4. Step 4: Simplify right side
    532,123.78x = 126,243,301,992.93
  5. Step 5: Solve for x
    x = 126,243,301,992.93/532,123.78
  6. Step 6: Final answer
    x = 237,244.24

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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.