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Finding the Fourth Proportional to 384,902.61, 577,299.18 and 132,178.95

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Solution

The fourth proportional to 384,902.61, 577,299.18 and 132,178.95 is: 198,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.61 : 577,299.18 = 132,178.95 : x
  2. Step 2: Convert to fraction form
    384,902.61/577,299.18 = 132,178.95/x
  3. Step 3: Cross multiply
    384,902.61x = 577,299.18 × 132,178.95
  4. Step 4: Simplify right side
    384,902.61x = 76,306,799,448.26
  5. Step 5: Solve for x
    x = 76,306,799,448.26/384,902.61
  6. Step 6: Final answer
    x = 198,249.63

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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.