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Finding the Fourth Proportional to 136,178.90, 187,938.23 and 75,760.92

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Solution

The fourth proportional to 136,178.90, 187,938.23 and 75,760.92 is: 104,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,178.90 : 187,938.23 = 75,760.92 : x
  2. Step 2: Convert to fraction form
    136,178.90/187,938.23 = 75,760.92/x
  3. Step 3: Cross multiply
    136,178.90x = 187,938.23 × 75,760.92
  4. Step 4: Simplify right side
    136,178.90x = 14,238,372,829.17
  5. Step 5: Solve for x
    x = 14,238,372,829.17/136,178.90
  6. Step 6: Final answer
    x = 104,556.38

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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.