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Finding the Fourth Proportional to 136,793.62, 205,262.66 and 97,069.31

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Solution

The fourth proportional to 136,793.62, 205,262.66 and 97,069.31 is: 145,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,793.62 : 205,262.66 = 97,069.31 : x
  2. Step 2: Convert to fraction form
    136,793.62/205,262.66 = 97,069.31/x
  3. Step 3: Cross multiply
    136,793.62x = 205,262.66 × 97,069.31
  4. Step 4: Simplify right side
    136,793.62x = 19,924,704,774.96
  5. Step 5: Solve for x
    x = 19,924,704,774.96/136,793.62
  6. Step 6: Final answer
    x = 145,655.22

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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.