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Finding the Fourth Proportional to 206,488.65, 284,652.72 and 145,952.49

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Solution

The fourth proportional to 206,488.65, 284,652.72 and 145,952.49 is: 201,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,488.65 : 284,652.72 = 145,952.49 : x
  2. Step 2: Convert to fraction form
    206,488.65/284,652.72 = 145,952.49/x
  3. Step 3: Cross multiply
    206,488.65x = 284,652.72 × 145,952.49
  4. Step 4: Simplify right side
    206,488.65x = 41,545,773,269.27
  5. Step 5: Solve for x
    x = 41,545,773,269.27/206,488.65
  6. Step 6: Final answer
    x = 201,201.24

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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.