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Finding the Fourth Proportional to 138,201.84, 207,329.04 and 95,686.56

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Solution

The fourth proportional to 138,201.84, 207,329.04 and 95,686.56 is: 143,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,201.84 : 207,329.04 = 95,686.56 : x
  2. Step 2: Convert to fraction form
    138,201.84/207,329.04 = 95,686.56/x
  3. Step 3: Cross multiply
    138,201.84x = 207,329.04 × 95,686.56
  4. Step 4: Simplify right side
    138,201.84x = 19,838,602,625.70
  5. Step 5: Solve for x
    x = 19,838,602,625.70/138,201.84
  6. Step 6: Final answer
    x = 143,548.04

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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.