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Finding the Fourth Proportional to 206,144.84, 284,490.16 and 125,559.48

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Solution

The fourth proportional to 206,144.84, 284,490.16 and 125,559.48 is: 173,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,144.84 : 284,490.16 = 125,559.48 : x
  2. Step 2: Convert to fraction form
    206,144.84/284,490.16 = 125,559.48/x
  3. Step 3: Cross multiply
    206,144.84x = 284,490.16 × 125,559.48
  4. Step 4: Simplify right side
    206,144.84x = 35,720,436,554.72
  5. Step 5: Solve for x
    x = 35,720,436,554.72/206,144.84
  6. Step 6: Final answer
    x = 173,278.34

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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.