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Finding the Fourth Proportional to 200,474.69, 276,654.24 and 109,830.53

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Solution

The fourth proportional to 200,474.69, 276,654.24 and 109,830.53 is: 151,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,474.69 : 276,654.24 = 109,830.53 : x
  2. Step 2: Convert to fraction form
    200,474.69/276,654.24 = 109,830.53/x
  3. Step 3: Cross multiply
    200,474.69x = 276,654.24 × 109,830.53
  4. Step 4: Simplify right side
    200,474.69x = 30,385,082,497.58
  5. Step 5: Solve for x
    x = 30,385,082,497.58/200,474.69
  6. Step 6: Final answer
    x = 151,565.68

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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.