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Finding the Fourth Proportional to 204,471.74, 282,148.82 and 113,820.59

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Solution

The fourth proportional to 204,471.74, 282,148.82 and 113,820.59 is: 157,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,471.74 : 282,148.82 = 113,820.59 : x
  2. Step 2: Convert to fraction form
    204,471.74/282,148.82 = 113,820.59/x
  3. Step 3: Cross multiply
    204,471.74x = 282,148.82 × 113,820.59
  4. Step 4: Simplify right side
    204,471.74x = 32,114,345,723.30
  5. Step 5: Solve for x
    x = 32,114,345,723.30/204,471.74
  6. Step 6: Final answer
    x = 157,060.07

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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.