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Finding the Fourth Proportional to 108,134.70, 162,231.20 and 97,724.58

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Solution

The fourth proportional to 108,134.70, 162,231.20 and 97,724.58 is: 146,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,134.70 : 162,231.20 = 97,724.58 : x
  2. Step 2: Convert to fraction form
    108,134.70/162,231.20 = 97,724.58/x
  3. Step 3: Cross multiply
    108,134.70x = 162,231.20 × 97,724.58
  4. Step 4: Simplify right side
    108,134.70x = 15,853,975,702.07
  5. Step 5: Solve for x
    x = 15,853,975,702.07/108,134.70
  6. Step 6: Final answer
    x = 146,613.22

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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.