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Finding the Fourth Proportional to 171,047.20, 256,570.80 and 82,473.70

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Solution

The fourth proportional to 171,047.20, 256,570.80 and 82,473.70 is: 123,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,047.20 : 256,570.80 = 82,473.70 : x
  2. Step 2: Convert to fraction form
    171,047.20/256,570.80 = 82,473.70/x
  3. Step 3: Cross multiply
    171,047.20x = 256,570.80 × 82,473.70
  4. Step 4: Simplify right side
    171,047.20x = 21,160,343,187.96
  5. Step 5: Solve for x
    x = 21,160,343,187.96/171,047.20
  6. Step 6: Final answer
    x = 123,710.55

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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.