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Finding the Fourth Proportional to 283,744.56, 391,585.14 and 156,419.94

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Solution

The fourth proportional to 283,744.56, 391,585.14 and 156,419.94 is: 215,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.56 : 391,585.14 = 156,419.94 : x
  2. Step 2: Convert to fraction form
    283,744.56/391,585.14 = 156,419.94/x
  3. Step 3: Cross multiply
    283,744.56x = 391,585.14 × 156,419.94
  4. Step 4: Simplify right side
    283,744.56x = 61,251,724,103.69
  5. Step 5: Solve for x
    x = 61,251,724,103.69/283,744.56
  6. Step 6: Final answer
    x = 215,869.25

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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.