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Finding the Fourth Proportional to 132,605.71, 198,926.89 and 42,650.96

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Solution

The fourth proportional to 132,605.71, 198,926.89 and 42,650.96 is: 63,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,605.71 : 198,926.89 = 42,650.96 : x
  2. Step 2: Convert to fraction form
    132,605.71/198,926.89 = 42,650.96/x
  3. Step 3: Cross multiply
    132,605.71x = 198,926.89 × 42,650.96
  4. Step 4: Simplify right side
    132,605.71x = 8,484,421,727.05
  5. Step 5: Solve for x
    x = 8,484,421,727.05/132,605.71
  6. Step 6: Final answer
    x = 63,982.33

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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.