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Finding the Fourth Proportional to 138,655, 191,329.38 and 102,375.76

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Solution

The fourth proportional to 138,655, 191,329.38 and 102,375.76 is: 141,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,655 : 191,329.38 = 102,375.76 : x
  2. Step 2: Convert to fraction form
    138,655/191,329.38 = 102,375.76/x
  3. Step 3: Cross multiply
    138,655x = 191,329.38 × 102,375.76
  4. Step 4: Simplify right side
    138,655x = 19,587,490,687.83
  5. Step 5: Solve for x
    x = 19,587,490,687.83/138,655
  6. Step 6: Final answer
    x = 141,267.83

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