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Finding the Fourth Proportional to 120,764.52, 181,146.78 and 37,665

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Solution

The fourth proportional to 120,764.52, 181,146.78 and 37,665 is: 56,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,764.52 : 181,146.78 = 37,665 : x
  2. Step 2: Convert to fraction form
    120,764.52/181,146.78 = 37,665/x
  3. Step 3: Cross multiply
    120,764.52x = 181,146.78 × 37,665
  4. Step 4: Simplify right side
    120,764.52x = 6,822,893,468.70
  5. Step 5: Solve for x
    x = 6,822,893,468.70/120,764.52
  6. Step 6: Final answer
    x = 56,497.50

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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.