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Finding the Fourth Proportional to 175,713.80, 263,570.70 and 80,943.80

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Solution

The fourth proportional to 175,713.80, 263,570.70 and 80,943.80 is: 121,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,713.80 : 263,570.70 = 80,943.80 : x
  2. Step 2: Convert to fraction form
    175,713.80/263,570.70 = 80,943.80/x
  3. Step 3: Cross multiply
    175,713.80x = 263,570.70 × 80,943.80
  4. Step 4: Simplify right side
    175,713.80x = 21,334,414,026.66
  5. Step 5: Solve for x
    x = 21,334,414,026.66/175,713.80
  6. Step 6: Final answer
    x = 121,415.70

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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.