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Finding the Fourth Proportional to 138,646.95, 191,332.24 and 78,217.60

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Solution

The fourth proportional to 138,646.95, 191,332.24 and 78,217.60 is: 107,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,646.95 : 191,332.24 = 78,217.60 : x
  2. Step 2: Convert to fraction form
    138,646.95/191,332.24 = 78,217.60/x
  3. Step 3: Cross multiply
    138,646.95x = 191,332.24 × 78,217.60
  4. Step 4: Simplify right side
    138,646.95x = 14,965,548,410.29
  5. Step 5: Solve for x
    x = 14,965,548,410.29/138,646.95
  6. Step 6: Final answer
    x = 107,939.97

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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.