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Finding the Fourth Proportional to 252,560.38, 378,826.72 and 152,693.76

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Solution

The fourth proportional to 252,560.38, 378,826.72 and 152,693.76 is: 229,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,560.38 : 378,826.72 = 152,693.76 : x
  2. Step 2: Convert to fraction form
    252,560.38/378,826.72 = 152,693.76/x
  3. Step 3: Cross multiply
    252,560.38x = 378,826.72 × 152,693.76
  4. Step 4: Simplify right side
    252,560.38x = 57,844,476,265.27
  5. Step 5: Solve for x
    x = 57,844,476,265.27/252,560.38
  6. Step 6: Final answer
    x = 229,032.27

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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.