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Finding the Fourth Proportional to 205,990.38, 284,119.80 and 189,049.50

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Solution

The fourth proportional to 205,990.38, 284,119.80 and 189,049.50 is: 260,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,990.38 : 284,119.80 = 189,049.50 : x
  2. Step 2: Convert to fraction form
    205,990.38/284,119.80 = 189,049.50/x
  3. Step 3: Cross multiply
    205,990.38x = 284,119.80 × 189,049.50
  4. Step 4: Simplify right side
    205,990.38x = 53,712,706,130.10
  5. Step 5: Solve for x
    x = 53,712,706,130.10/205,990.38
  6. Step 6: Final answer
    x = 260,753.47

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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.