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Finding the Fourth Proportional to 138,714.97, 191,427.31 and 78,288.16

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Solution

The fourth proportional to 138,714.97, 191,427.31 and 78,288.16 is: 108,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714.97 : 191,427.31 = 78,288.16 : x
  2. Step 2: Convert to fraction form
    138,714.97/191,427.31 = 78,288.16/x
  3. Step 3: Cross multiply
    138,714.97x = 191,427.31 × 78,288.16
  4. Step 4: Simplify right side
    138,714.97x = 14,986,491,492.94
  5. Step 5: Solve for x
    x = 14,986,491,492.94/138,714.97
  6. Step 6: Final answer
    x = 108,038.03

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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.