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Finding the Fourth Proportional to 133,663.26, 200,525.86 and 38,895.68

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Solution

The fourth proportional to 133,663.26, 200,525.86 and 38,895.68 is: 58,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,663.26 : 200,525.86 = 38,895.68 : x
  2. Step 2: Convert to fraction form
    133,663.26/200,525.86 = 38,895.68/x
  3. Step 3: Cross multiply
    133,663.26x = 200,525.86 × 38,895.68
  4. Step 4: Simplify right side
    133,663.26x = 7,799,589,682.28
  5. Step 5: Solve for x
    x = 7,799,589,682.28/133,663.26
  6. Step 6: Final answer
    x = 58,352.53

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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.