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Finding the Fourth Proportional to 171,199.66, 256,660.30 and 71,434.17

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Solution

The fourth proportional to 171,199.66, 256,660.30 and 71,434.17 is: 107,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,199.66 : 256,660.30 = 71,434.17 : x
  2. Step 2: Convert to fraction form
    171,199.66/256,660.30 = 71,434.17/x
  3. Step 3: Cross multiply
    171,199.66x = 256,660.30 × 71,434.17
  4. Step 4: Simplify right side
    171,199.66x = 18,334,315,502.45
  5. Step 5: Solve for x
    x = 18,334,315,502.45/171,199.66
  6. Step 6: Final answer
    x = 107,093.18

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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.