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Finding the Fourth Proportional to 200,471.13, 276,658.47 and 109,834.97

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Solution

The fourth proportional to 200,471.13, 276,658.47 and 109,834.97 is: 151,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,471.13 : 276,658.47 = 109,834.97 : x
  2. Step 2: Convert to fraction form
    200,471.13/276,658.47 = 109,834.97/x
  3. Step 3: Cross multiply
    200,471.13x = 276,658.47 × 109,834.97
  4. Step 4: Simplify right side
    200,471.13x = 30,386,773,369.40
  5. Step 5: Solve for x
    x = 30,386,773,369.40/200,471.13
  6. Step 6: Final answer
    x = 151,576.80

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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.