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Finding the Fourth Proportional to 204,761.50, 282,593.80 and 114,125.74

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Solution

The fourth proportional to 204,761.50, 282,593.80 and 114,125.74 is: 157,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,761.50 : 282,593.80 = 114,125.74 : x
  2. Step 2: Convert to fraction form
    204,761.50/282,593.80 = 114,125.74/x
  3. Step 3: Cross multiply
    204,761.50x = 282,593.80 × 114,125.74
  4. Step 4: Simplify right side
    204,761.50x = 32,251,226,544.41
  5. Step 5: Solve for x
    x = 32,251,226,544.41/204,761.50
  6. Step 6: Final answer
    x = 157,506.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.