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Finding the Fourth Proportional to 171,002.30, 256,114.65 and 108,016.70

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Solution

The fourth proportional to 171,002.30, 256,114.65 and 108,016.70 is: 161,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,002.30 : 256,114.65 = 108,016.70 : x
  2. Step 2: Convert to fraction form
    171,002.30/256,114.65 = 108,016.70/x
  3. Step 3: Cross multiply
    171,002.30x = 256,114.65 × 108,016.70
  4. Step 4: Simplify right side
    171,002.30x = 27,664,659,314.66
  5. Step 5: Solve for x
    x = 27,664,659,314.66/171,002.30
  6. Step 6: Final answer
    x = 161,779.46

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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.