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Finding the Fourth Proportional to 138,735.20, 207,811.20 and 115,407.20

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Solution

The fourth proportional to 138,735.20, 207,811.20 and 115,407.20 is: 172,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,735.20 : 207,811.20 = 115,407.20 : x
  2. Step 2: Convert to fraction form
    138,735.20/207,811.20 = 115,407.20/x
  3. Step 3: Cross multiply
    138,735.20x = 207,811.20 × 115,407.20
  4. Step 4: Simplify right side
    138,735.20x = 23,982,908,720.64
  5. Step 5: Solve for x
    x = 23,982,908,720.64/138,735.20
  6. Step 6: Final answer
    x = 172,868.23

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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.