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Finding the Fourth Proportional to 138,454.10, 191,072.28 and 78,027.29

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Solution

The fourth proportional to 138,454.10, 191,072.28 and 78,027.29 is: 107,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,454.10 : 191,072.28 = 78,027.29 : x
  2. Step 2: Convert to fraction form
    138,454.10/191,072.28 = 78,027.29/x
  3. Step 3: Cross multiply
    138,454.10x = 191,072.28 × 78,027.29
  4. Step 4: Simplify right side
    138,454.10x = 14,908,851,247.16
  5. Step 5: Solve for x
    x = 14,908,851,247.16/138,454.10
  6. Step 6: Final answer
    x = 107,680.83

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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.