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Finding the Fourth Proportional to 252,589.52, 378,761.40 and 147,442.64

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Solution

The fourth proportional to 252,589.52, 378,761.40 and 147,442.64 is: 221,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,589.52 : 378,761.40 = 147,442.64 : x
  2. Step 2: Convert to fraction form
    252,589.52/378,761.40 = 147,442.64/x
  3. Step 3: Cross multiply
    252,589.52x = 378,761.40 × 147,442.64
  4. Step 4: Simplify right side
    252,589.52x = 55,845,580,746.10
  5. Step 5: Solve for x
    x = 55,845,580,746.10/252,589.52
  6. Step 6: Final answer
    x = 221,092.23

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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.