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Finding the Fourth Proportional to 206,321.84, 284,774.76 and 125,793.76

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Solution

The fourth proportional to 206,321.84, 284,774.76 and 125,793.76 is: 173,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,321.84 : 284,774.76 = 125,793.76 : x
  2. Step 2: Convert to fraction form
    206,321.84/284,774.76 = 125,793.76/x
  3. Step 3: Cross multiply
    206,321.84x = 284,774.76 × 125,793.76
  4. Step 4: Simplify right side
    206,321.84x = 35,822,887,813.50
  5. Step 5: Solve for x
    x = 35,822,887,813.50/206,321.84
  6. Step 6: Final answer
    x = 173,626.25

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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.