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Finding the Fourth Proportional to 97,308.80, 145,963.20 and 57,286.70

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Solution

The fourth proportional to 97,308.80, 145,963.20 and 57,286.70 is: 85,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,308.80 : 145,963.20 = 57,286.70 : x
  2. Step 2: Convert to fraction form
    97,308.80/145,963.20 = 57,286.70/x
  3. Step 3: Cross multiply
    97,308.80x = 145,963.20 × 57,286.70
  4. Step 4: Simplify right side
    97,308.80x = 8,361,750,049.44
  5. Step 5: Solve for x
    x = 8,361,750,049.44/97,308.80
  6. Step 6: Final answer
    x = 85,930.05

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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.