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Finding the Fourth Proportional to 206,083.89, 284,146.92 and 160,156.89

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Solution

The fourth proportional to 206,083.89, 284,146.92 and 160,156.89 is: 220,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,083.89 : 284,146.92 = 160,156.89 : x
  2. Step 2: Convert to fraction form
    206,083.89/284,146.92 = 160,156.89/x
  3. Step 3: Cross multiply
    206,083.89x = 284,146.92 × 160,156.89
  4. Step 4: Simplify right side
    206,083.89x = 45,508,087,010.28
  5. Step 5: Solve for x
    x = 45,508,087,010.28/206,083.89
  6. Step 6: Final answer
    x = 220,823.12

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1.5x scale

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.