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Finding the Fourth Proportional to 138,719.19, 191,433.14 and 78,292.38

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Solution

The fourth proportional to 138,719.19, 191,433.14 and 78,292.38 is: 108,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719.19 : 191,433.14 = 78,292.38 : x
  2. Step 2: Convert to fraction form
    138,719.19/191,433.14 = 78,292.38/x
  3. Step 3: Cross multiply
    138,719.19x = 191,433.14 × 78,292.38
  4. Step 4: Simplify right side
    138,719.19x = 14,987,755,750.01
  5. Step 5: Solve for x
    x = 14,987,755,750.01/138,719.19
  6. Step 6: Final answer
    x = 108,043.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.