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Finding the Fourth Proportional to 138,024.60, 206,576.10 and 96,552.60

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Solution

The fourth proportional to 138,024.60, 206,576.10 and 96,552.60 is: 144,506.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024.60 : 206,576.10 = 96,552.60 : x
  2. Step 2: Convert to fraction form
    138,024.60/206,576.10 = 96,552.60/x
  3. Step 3: Cross multiply
    138,024.60x = 206,576.10 × 96,552.60
  4. Step 4: Simplify right side
    138,024.60x = 19,945,459,552.86
  5. Step 5: Solve for x
    x = 19,945,459,552.86/138,024.60
  6. Step 6: Final answer
    x = 144,506.56

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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.