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Finding the Fourth Proportional to 283,893.53, 391,762.19 and 156,569.13

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Solution

The fourth proportional to 283,893.53, 391,762.19 and 156,569.13 is: 216,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,893.53 : 391,762.19 = 156,569.13 : x
  2. Step 2: Convert to fraction form
    283,893.53/391,762.19 = 156,569.13/x
  3. Step 3: Cross multiply
    283,893.53x = 391,762.19 × 156,569.13
  4. Step 4: Simplify right side
    283,893.53x = 61,337,865,646.62
  5. Step 5: Solve for x
    x = 61,337,865,646.62/283,893.53
  6. Step 6: Final answer
    x = 216,059.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.