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Finding the Fourth Proportional to 186,608, 257,610.98 and 129,290.78

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Solution

The fourth proportional to 186,608, 257,610.98 and 129,290.78 is: 178,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,608 : 257,610.98 = 129,290.78 : x
  2. Step 2: Convert to fraction form
    186,608/257,610.98 = 129,290.78/x
  3. Step 3: Cross multiply
    186,608x = 257,610.98 × 129,290.78
  4. Step 4: Simplify right side
    186,608x = 33,306,723,894.31
  5. Step 5: Solve for x
    x = 33,306,723,894.31/186,608
  6. Step 6: Final answer
    x = 178,484.97

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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.