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Finding the Fourth Proportional to 133,602.32, 200,414.01 and 44,855.48

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Solution

The fourth proportional to 133,602.32, 200,414.01 and 44,855.48 is: 67,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602.32 : 200,414.01 = 44,855.48 : x
  2. Step 2: Convert to fraction form
    133,602.32/200,414.01 = 44,855.48/x
  3. Step 3: Cross multiply
    133,602.32x = 200,414.01 × 44,855.48
  4. Step 4: Simplify right side
    133,602.32x = 8,989,666,617.27
  5. Step 5: Solve for x
    x = 8,989,666,617.27/133,602.32
  6. Step 6: Final answer
    x = 67,286.76

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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.