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Finding the Fourth Proportional to 206,085.39, 284,148.99 and 160,158.39

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Solution

The fourth proportional to 206,085.39, 284,148.99 and 160,158.39 is: 220,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,085.39 : 284,148.99 = 160,158.39 : x
  2. Step 2: Convert to fraction form
    206,085.39/284,148.99 = 160,158.39/x
  3. Step 3: Cross multiply
    206,085.39x = 284,148.99 × 160,158.39
  4. Step 4: Simplify right side
    206,085.39x = 45,508,844,758.53
  5. Step 5: Solve for x
    x = 45,508,844,758.53/206,085.39
  6. Step 6: Final answer
    x = 220,825.19

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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.