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Finding the Fourth Proportional to 80,154, 120,232.62 and 24,750

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Solution

The fourth proportional to 80,154, 120,232.62 and 24,750 is: 37,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,154 : 120,232.62 = 24,750 : x
  2. Step 2: Convert to fraction form
    80,154/120,232.62 = 24,750/x
  3. Step 3: Cross multiply
    80,154x = 120,232.62 × 24,750
  4. Step 4: Simplify right side
    80,154x = 2,975,757,345
  5. Step 5: Solve for x
    x = 2,975,757,345/80,154
  6. Step 6: Final answer
    x = 37,125.50

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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.