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Finding the Fourth Proportional to 177,254.76, 265,932.38 and 72,149.16

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Solution

The fourth proportional to 177,254.76, 265,932.38 and 72,149.16 is: 108,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,254.76 : 265,932.38 = 72,149.16 : x
  2. Step 2: Convert to fraction form
    177,254.76/265,932.38 = 72,149.16/x
  3. Step 3: Cross multiply
    177,254.76x = 265,932.38 × 72,149.16
  4. Step 4: Simplify right side
    177,254.76x = 19,186,797,833.80
  5. Step 5: Solve for x
    x = 19,186,797,833.80/177,254.76
  6. Step 6: Final answer
    x = 108,244.19

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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.