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Finding the Fourth Proportional to 265,269.43, 397,654.01 and 132,023.72

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Solution

The fourth proportional to 265,269.43, 397,654.01 and 132,023.72 is: 197,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,269.43 : 397,654.01 = 132,023.72 : x
  2. Step 2: Convert to fraction form
    265,269.43/397,654.01 = 132,023.72/x
  3. Step 3: Cross multiply
    265,269.43x = 397,654.01 × 132,023.72
  4. Step 4: Simplify right side
    265,269.43x = 52,499,762,502.22
  5. Step 5: Solve for x
    x = 52,499,762,502.22/265,269.43
  6. Step 6: Final answer
    x = 197,911.09

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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.