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Finding the Fourth Proportional to 138,913.11, 191,688.73 and 78,489

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Solution

The fourth proportional to 138,913.11, 191,688.73 and 78,489 is: 108,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,913.11 : 191,688.73 = 78,489 : x
  2. Step 2: Convert to fraction form
    138,913.11/191,688.73 = 78,489/x
  3. Step 3: Cross multiply
    138,913.11x = 191,688.73 × 78,489
  4. Step 4: Simplify right side
    138,913.11x = 15,045,456,532.75
  5. Step 5: Solve for x
    x = 15,045,456,532.75/138,913.11
  6. Step 6: Final answer
    x = 108,308.40

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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.