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Finding the Fourth Proportional to 171,769.80, 257,708.70 and 83,026.20

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Solution

The fourth proportional to 171,769.80, 257,708.70 and 83,026.20 is: 124,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,769.80 : 257,708.70 = 83,026.20 : x
  2. Step 2: Convert to fraction form
    171,769.80/257,708.70 = 83,026.20/x
  3. Step 3: Cross multiply
    171,769.80x = 257,708.70 × 83,026.20
  4. Step 4: Simplify right side
    171,769.80x = 21,396,574,067.94
  5. Step 5: Solve for x
    x = 21,396,574,067.94/171,769.80
  6. Step 6: Final answer
    x = 124,565.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.