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Finding the Fourth Proportional to 252,614.60, 378,047.10 and 173,882.60

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Solution

The fourth proportional to 252,614.60, 378,047.10 and 173,882.60 is: 260,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,614.60 : 378,047.10 = 173,882.60 : x
  2. Step 2: Convert to fraction form
    252,614.60/378,047.10 = 173,882.60/x
  3. Step 3: Cross multiply
    252,614.60x = 378,047.10 × 173,882.60
  4. Step 4: Simplify right side
    252,614.60x = 65,735,812,670.46
  5. Step 5: Solve for x
    x = 65,735,812,670.46/252,614.60
  6. Step 6: Final answer
    x = 260,221.75

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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.