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Finding the Fourth Proportional to 108,523.40, 162,938.70 and 85,176.20

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Solution

The fourth proportional to 108,523.40, 162,938.70 and 85,176.20 is: 127,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,523.40 : 162,938.70 = 85,176.20 : x
  2. Step 2: Convert to fraction form
    108,523.40/162,938.70 = 85,176.20/x
  3. Step 3: Cross multiply
    108,523.40x = 162,938.70 × 85,176.20
  4. Step 4: Simplify right side
    108,523.40x = 13,878,499,298.94
  5. Step 5: Solve for x
    x = 13,878,499,298.94/108,523.40
  6. Step 6: Final answer
    x = 127,884.86

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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.