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Finding the Fourth Proportional to 252,641.52, 378,962.30 and 75,151.08

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Solution

The fourth proportional to 252,641.52, 378,962.30 and 75,151.08 is: 112,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,641.52 : 378,962.30 = 75,151.08 : x
  2. Step 2: Convert to fraction form
    252,641.52/378,962.30 = 75,151.08/x
  3. Step 3: Cross multiply
    252,641.52x = 378,962.30 × 75,151.08
  4. Step 4: Simplify right side
    252,641.52x = 28,479,426,124.28
  5. Step 5: Solve for x
    x = 28,479,426,124.28/252,641.52
  6. Step 6: Final answer
    x = 112,726.63

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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.