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Finding the Fourth Proportional to 175,937.76, 263,781.36 and 82,392.48

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Solution

The fourth proportional to 175,937.76, 263,781.36 and 82,392.48 is: 123,530.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,937.76 : 263,781.36 = 82,392.48 : x
  2. Step 2: Convert to fraction form
    175,937.76/263,781.36 = 82,392.48/x
  3. Step 3: Cross multiply
    175,937.76x = 263,781.36 × 82,392.48
  4. Step 4: Simplify right side
    175,937.76x = 21,733,600,428.17
  5. Step 5: Solve for x
    x = 21,733,600,428.17/175,937.76
  6. Step 6: Final answer
    x = 123,530.05

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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.