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Finding the Fourth Proportional to 135,013.38, 186,318.46 and 75,397.38

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Solution

The fourth proportional to 135,013.38, 186,318.46 and 75,397.38 is: 104,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,013.38 : 186,318.46 = 75,397.38 : x
  2. Step 2: Convert to fraction form
    135,013.38/186,318.46 = 75,397.38/x
  3. Step 3: Cross multiply
    135,013.38x = 186,318.46 × 75,397.38
  4. Step 4: Simplify right side
    135,013.38x = 14,047,923,729.63
  5. Step 5: Solve for x
    x = 14,047,923,729.63/135,013.38
  6. Step 6: Final answer
    x = 104,048.38

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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.