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Finding the Fourth Proportional to 120,874.52, 181,312.60 and 36,641.20

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Solution

The fourth proportional to 120,874.52, 181,312.60 and 36,641.20 is: 54,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.52 : 181,312.60 = 36,641.20 : x
  2. Step 2: Convert to fraction form
    120,874.52/181,312.60 = 36,641.20/x
  3. Step 3: Cross multiply
    120,874.52x = 181,312.60 × 36,641.20
  4. Step 4: Simplify right side
    120,874.52x = 6,643,511,239.12
  5. Step 5: Solve for x
    x = 6,643,511,239.12/120,874.52
  6. Step 6: Final answer
    x = 54,962.05

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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.