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Finding the Fourth Proportional to 206,436.30, 284,885.19 and 115,812.30

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Solution

The fourth proportional to 206,436.30, 284,885.19 and 115,812.30 is: 159,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.30 : 284,885.19 = 115,812.30 : x
  2. Step 2: Convert to fraction form
    206,436.30/284,885.19 = 115,812.30/x
  3. Step 3: Cross multiply
    206,436.30x = 284,885.19 × 115,812.30
  4. Step 4: Simplify right side
    206,436.30x = 32,993,209,089.84
  5. Step 5: Solve for x
    x = 32,993,209,089.84/206,436.30
  6. Step 6: Final answer
    x = 159,822.71

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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.