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Finding the Fourth Proportional to 117,705.20, 176,557.80 and 82,275.80

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Solution

The fourth proportional to 117,705.20, 176,557.80 and 82,275.80 is: 123,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,705.20 : 176,557.80 = 82,275.80 : x
  2. Step 2: Convert to fraction form
    117,705.20/176,557.80 = 82,275.80/x
  3. Step 3: Cross multiply
    117,705.20x = 176,557.80 × 82,275.80
  4. Step 4: Simplify right side
    117,705.20x = 14,526,434,241.24
  5. Step 5: Solve for x
    x = 14,526,434,241.24/117,705.20
  6. Step 6: Final answer
    x = 123,413.70

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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.