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Finding the Fourth Proportional to 108,701.70, 163,052.55 and 71,765.70

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Solution

The fourth proportional to 108,701.70, 163,052.55 and 71,765.70 is: 107,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,701.70 : 163,052.55 = 71,765.70 : x
  2. Step 2: Convert to fraction form
    108,701.70/163,052.55 = 71,765.70/x
  3. Step 3: Cross multiply
    108,701.70x = 163,052.55 × 71,765.70
  4. Step 4: Simplify right side
    108,701.70x = 11,701,580,387.54
  5. Step 5: Solve for x
    x = 11,701,580,387.54/108,701.70
  6. Step 6: Final answer
    x = 107,648.55

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Why These Related Problems?

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