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Finding the Fourth Proportional to 129,133.38, 178,176.30 and 75,393.90

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Solution

The fourth proportional to 129,133.38, 178,176.30 and 75,393.90 is: 104,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,133.38 : 178,176.30 = 75,393.90 : x
  2. Step 2: Convert to fraction form
    129,133.38/178,176.30 = 75,393.90/x
  3. Step 3: Cross multiply
    129,133.38x = 178,176.30 × 75,393.90
  4. Step 4: Simplify right side
    129,133.38x = 13,433,406,144.57
  5. Step 5: Solve for x
    x = 13,433,406,144.57/129,133.38
  6. Step 6: Final answer
    x = 104,027.37

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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.