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Finding the Fourth Proportional to 238,407.12, 357,672.87 and 138,471.24

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Solution

The fourth proportional to 238,407.12, 357,672.87 and 138,471.24 is: 207,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,407.12 : 357,672.87 = 138,471.24 : x
  2. Step 2: Convert to fraction form
    238,407.12/357,672.87 = 138,471.24/x
  3. Step 3: Cross multiply
    238,407.12x = 357,672.87 × 138,471.24
  4. Step 4: Simplify right side
    238,407.12x = 49,527,405,823.26
  5. Step 5: Solve for x
    x = 49,527,405,823.26/238,407.12
  6. Step 6: Final answer
    x = 207,742.98

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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.