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Finding the Fourth Proportional to 217,429.38, 299,774.79 and 140,813.10

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Solution

The fourth proportional to 217,429.38, 299,774.79 and 140,813.10 is: 194,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,429.38 : 299,774.79 = 140,813.10 : x
  2. Step 2: Convert to fraction form
    217,429.38/299,774.79 = 140,813.10/x
  3. Step 3: Cross multiply
    217,429.38x = 299,774.79 × 140,813.10
  4. Step 4: Simplify right side
    217,429.38x = 42,212,217,481.75
  5. Step 5: Solve for x
    x = 42,212,217,481.75/217,429.38
  6. Step 6: Final answer
    x = 194,142.20

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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.