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Finding the Fourth Proportional to 135,930.69, 187,576.43 and 75,497.85

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Solution

The fourth proportional to 135,930.69, 187,576.43 and 75,497.85 is: 104,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930.69 : 187,576.43 = 75,497.85 : x
  2. Step 2: Convert to fraction form
    135,930.69/187,576.43 = 75,497.85/x
  3. Step 3: Cross multiply
    135,930.69x = 187,576.43 × 75,497.85
  4. Step 4: Simplify right side
    135,930.69x = 14,161,616,798.19
  5. Step 5: Solve for x
    x = 14,161,616,798.19/135,930.69
  6. Step 6: Final answer
    x = 104,182.63

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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.