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Finding the Fourth Proportional to 99,306.40, 148,930.80 and 40,122.40

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Solution

The fourth proportional to 99,306.40, 148,930.80 and 40,122.40 is: 60,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,306.40 : 148,930.80 = 40,122.40 : x
  2. Step 2: Convert to fraction form
    99,306.40/148,930.80 = 40,122.40/x
  3. Step 3: Cross multiply
    99,306.40x = 148,930.80 × 40,122.40
  4. Step 4: Simplify right side
    99,306.40x = 5,975,461,129.92
  5. Step 5: Solve for x
    x = 5,975,461,129.92/99,306.40
  6. Step 6: Final answer
    x = 60,171.96

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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.