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Finding the Fourth Proportional to 171,098.80, 256,259.40 and 108,113.20

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Solution

The fourth proportional to 171,098.80, 256,259.40 and 108,113.20 is: 161,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,098.80 : 256,259.40 = 108,113.20 : x
  2. Step 2: Convert to fraction form
    171,098.80/256,259.40 = 108,113.20/x
  3. Step 3: Cross multiply
    171,098.80x = 256,259.40 × 108,113.20
  4. Step 4: Simplify right side
    171,098.80x = 27,705,023,764.08
  5. Step 5: Solve for x
    x = 27,705,023,764.08/171,098.80
  6. Step 6: Final answer
    x = 161,924.13

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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.