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Finding the Fourth Proportional to 120,614.52, 181,032.78 and 61,494.24

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Solution

The fourth proportional to 120,614.52, 181,032.78 and 61,494.24 is: 92,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,614.52 : 181,032.78 = 61,494.24 : x
  2. Step 2: Convert to fraction form
    120,614.52/181,032.78 = 61,494.24/x
  3. Step 3: Cross multiply
    120,614.52x = 181,032.78 × 61,494.24
  4. Step 4: Simplify right side
    120,614.52x = 11,132,473,221.19
  5. Step 5: Solve for x
    x = 11,132,473,221.19/120,614.52
  6. Step 6: Final answer
    x = 92,297.95

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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.