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Finding the Fourth Proportional to 129,221.38, 178,299.36 and 75,496.02

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Solution

The fourth proportional to 129,221.38, 178,299.36 and 75,496.02 is: 104,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,221.38 : 178,299.36 = 75,496.02 : x
  2. Step 2: Convert to fraction form
    129,221.38/178,299.36 = 75,496.02/x
  3. Step 3: Cross multiply
    129,221.38x = 178,299.36 × 75,496.02
  4. Step 4: Simplify right side
    129,221.38x = 13,460,892,048.55
  5. Step 5: Solve for x
    x = 13,460,892,048.55/129,221.38
  6. Step 6: Final answer
    x = 104,169.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.