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Finding the Fourth Proportional to 204,424.70, 282,105.67 and 115,000.70

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Solution

The fourth proportional to 204,424.70, 282,105.67 and 115,000.70 is: 158,700.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,424.70 : 282,105.67 = 115,000.70 : x
  2. Step 2: Convert to fraction form
    204,424.70/282,105.67 = 115,000.70/x
  3. Step 3: Cross multiply
    204,424.70x = 282,105.67 × 115,000.70
  4. Step 4: Simplify right side
    204,424.70x = 32,442,349,523.97
  5. Step 5: Solve for x
    x = 32,442,349,523.97/204,424.70
  6. Step 6: Final answer
    x = 158,700.73

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1.5x scale

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.