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Finding the Fourth Proportional to 133,788.54, 200,713.53 and 45,039.66

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Solution

The fourth proportional to 133,788.54, 200,713.53 and 45,039.66 is: 67,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,788.54 : 200,713.53 = 45,039.66 : x
  2. Step 2: Convert to fraction form
    133,788.54/200,713.53 = 45,039.66/x
  3. Step 3: Cross multiply
    133,788.54x = 200,713.53 × 45,039.66
  4. Step 4: Simplify right side
    133,788.54x = 9,040,069,148.60
  5. Step 5: Solve for x
    x = 9,040,069,148.60/133,788.54
  6. Step 6: Final answer
    x = 67,569.83

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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.