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Finding the Fourth Proportional to 205,927.38, 284,197.41 and 115,281.90

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Solution

The fourth proportional to 205,927.38, 284,197.41 and 115,281.90 is: 159,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,927.38 : 284,197.41 = 115,281.90 : x
  2. Step 2: Convert to fraction form
    205,927.38/284,197.41 = 115,281.90/x
  3. Step 3: Cross multiply
    205,927.38x = 284,197.41 × 115,281.90
  4. Step 4: Simplify right side
    205,927.38x = 32,762,817,399.88
  5. Step 5: Solve for x
    x = 32,762,817,399.88/205,927.38
  6. Step 6: Final answer
    x = 159,098.89

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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.