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Finding the Fourth Proportional to 113,714.31, 156,939.30 and 65,969.27

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Solution

The fourth proportional to 113,714.31, 156,939.30 and 65,969.27 is: 91,045.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,714.31 : 156,939.30 = 65,969.27 : x
  2. Step 2: Convert to fraction form
    113,714.31/156,939.30 = 65,969.27/x
  3. Step 3: Cross multiply
    113,714.31x = 156,939.30 × 65,969.27
  4. Step 4: Simplify right side
    113,714.31x = 10,353,170,270.61
  5. Step 5: Solve for x
    x = 10,353,170,270.61/113,714.31
  6. Step 6: Final answer
    x = 91,045.45

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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.