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Finding the Fourth Proportional to 283,562.56, 425,406.14 and 83,867.38

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Solution

The fourth proportional to 283,562.56, 425,406.14 and 83,867.38 is: 125,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,562.56 : 425,406.14 = 83,867.38 : x
  2. Step 2: Convert to fraction form
    283,562.56/425,406.14 = 83,867.38/x
  3. Step 3: Cross multiply
    283,562.56x = 425,406.14 × 83,867.38
  4. Step 4: Simplify right side
    283,562.56x = 35,677,698,397.71
  5. Step 5: Solve for x
    x = 35,677,698,397.71/283,562.56
  6. Step 6: Final answer
    x = 125,819.50

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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.