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Finding the Fourth Proportional to 133,882.52, 200,683.65 and 45,105.35

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Solution

The fourth proportional to 133,882.52, 200,683.65 and 45,105.35 is: 67,610.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,882.52 : 200,683.65 = 45,105.35 : x
  2. Step 2: Convert to fraction form
    133,882.52/200,683.65 = 45,105.35/x
  3. Step 3: Cross multiply
    133,882.52x = 200,683.65 × 45,105.35
  4. Step 4: Simplify right side
    133,882.52x = 9,051,905,269.11
  5. Step 5: Solve for x
    x = 9,051,905,269.11/133,882.52
  6. Step 6: Final answer
    x = 67,610.81

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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.