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Finding the Fourth Proportional to 133,462.80, 200,145.60 and 44,719.20

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Solution

The fourth proportional to 133,462.80, 200,145.60 and 44,719.20 is: 67,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,462.80 : 200,145.60 = 44,719.20 : x
  2. Step 2: Convert to fraction form
    133,462.80/200,145.60 = 44,719.20/x
  3. Step 3: Cross multiply
    133,462.80x = 200,145.60 × 44,719.20
  4. Step 4: Simplify right side
    133,462.80x = 8,950,351,115.52
  5. Step 5: Solve for x
    x = 8,950,351,115.52/133,462.80
  6. Step 6: Final answer
    x = 67,062.52

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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.