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Finding the Fourth Proportional to 206,371.68, 284,833.76 and 133,864.43

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Solution

The fourth proportional to 206,371.68, 284,833.76 and 133,864.43 is: 184,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,371.68 : 284,833.76 = 133,864.43 : x
  2. Step 2: Convert to fraction form
    206,371.68/284,833.76 = 133,864.43/x
  3. Step 3: Cross multiply
    206,371.68x = 284,833.76 × 133,864.43
  4. Step 4: Simplify right side
    206,371.68x = 38,129,106,833.67
  5. Step 5: Solve for x
    x = 38,129,106,833.67/206,371.68
  6. Step 6: Final answer
    x = 184,759.40

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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.