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Finding the Fourth Proportional to 176,507.60, 264,892.65 and 71,327.48

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Solution

The fourth proportional to 176,507.60, 264,892.65 and 71,327.48 is: 107,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,507.60 : 264,892.65 = 71,327.48 : x
  2. Step 2: Convert to fraction form
    176,507.60/264,892.65 = 71,327.48/x
  3. Step 3: Cross multiply
    176,507.60x = 264,892.65 × 71,327.48
  4. Step 4: Simplify right side
    176,507.60x = 18,894,125,195.02
  5. Step 5: Solve for x
    x = 18,894,125,195.02/176,507.60
  6. Step 6: Final answer
    x = 107,044.26

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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.