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Finding the Fourth Proportional to 97,232.80, 145,849.20 and 82,199.20

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Solution

The fourth proportional to 97,232.80, 145,849.20 and 82,199.20 is: 123,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,232.80 : 145,849.20 = 82,199.20 : x
  2. Step 2: Convert to fraction form
    97,232.80/145,849.20 = 82,199.20/x
  3. Step 3: Cross multiply
    97,232.80x = 145,849.20 × 82,199.20
  4. Step 4: Simplify right side
    97,232.80x = 11,988,687,560.64
  5. Step 5: Solve for x
    x = 11,988,687,560.64/97,232.80
  6. Step 6: Final answer
    x = 123,298.80

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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.