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Finding the Fourth Proportional to 206,892.63, 285,503.74 and 126,454.77

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Solution

The fourth proportional to 206,892.63, 285,503.74 and 126,454.77 is: 174,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.63 : 285,503.74 = 126,454.77 : x
  2. Step 2: Convert to fraction form
    206,892.63/285,503.74 = 126,454.77/x
  3. Step 3: Cross multiply
    206,892.63x = 285,503.74 × 126,454.77
  4. Step 4: Simplify right side
    206,892.63x = 36,103,309,459.70
  5. Step 5: Solve for x
    x = 36,103,309,459.70/206,892.63
  6. Step 6: Final answer
    x = 174,502.64

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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.