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Finding the Fourth Proportional to 252,591.72, 378,916.56 and 117,585.78

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Solution

The fourth proportional to 252,591.72, 378,916.56 and 117,585.78 is: 176,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,591.72 : 378,916.56 = 117,585.78 : x
  2. Step 2: Convert to fraction form
    252,591.72/378,916.56 = 117,585.78/x
  3. Step 3: Cross multiply
    252,591.72x = 378,916.56 × 117,585.78
  4. Step 4: Simplify right side
    252,591.72x = 44,555,199,262.52
  5. Step 5: Solve for x
    x = 44,555,199,262.52/252,591.72
  6. Step 6: Final answer
    x = 176,392.16

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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.