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Finding the Fourth Proportional to 283,574.58, 391,350.39 and 156,250.14

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Solution

The fourth proportional to 283,574.58, 391,350.39 and 156,250.14 is: 215,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,574.58 : 391,350.39 = 156,250.14 : x
  2. Step 2: Convert to fraction form
    283,574.58/391,350.39 = 156,250.14/x
  3. Step 3: Cross multiply
    283,574.58x = 391,350.39 × 156,250.14
  4. Step 4: Simplify right side
    283,574.58x = 61,148,553,226.55
  5. Step 5: Solve for x
    x = 61,148,553,226.55/283,574.58
  6. Step 6: Final answer
    x = 215,634.82

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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.