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Finding the Fourth Proportional to 283,712.10, 391,516.38 and 156,387.39

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Solution

The fourth proportional to 283,712.10, 391,516.38 and 156,387.39 is: 215,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,712.10 : 391,516.38 = 156,387.39 : x
  2. Step 2: Convert to fraction form
    283,712.10/391,516.38 = 156,387.39/x
  3. Step 3: Cross multiply
    283,712.10x = 391,516.38 × 156,387.39
  4. Step 4: Simplify right side
    283,712.10x = 61,228,224,810.45
  5. Step 5: Solve for x
    x = 61,228,224,810.45/283,712.10
  6. Step 6: Final answer
    x = 215,811.12

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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.