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Finding the Fourth Proportional to 113,853.90, 170,829.45 and 54,659.10

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Solution

The fourth proportional to 113,853.90, 170,829.45 and 54,659.10 is: 82,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,853.90 : 170,829.45 = 54,659.10 : x
  2. Step 2: Convert to fraction form
    113,853.90/170,829.45 = 54,659.10/x
  3. Step 3: Cross multiply
    113,853.90x = 170,829.45 × 54,659.10
  4. Step 4: Simplify right side
    113,853.90x = 9,337,383,990.50
  5. Step 5: Solve for x
    x = 9,337,383,990.50/113,853.90
  6. Step 6: Final answer
    x = 82,011.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.