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Finding the Fourth Proportional to 206,284.76, 284,672.96 and 116,860.76

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Solution

The fourth proportional to 206,284.76, 284,672.96 and 116,860.76 is: 161,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,284.76 : 284,672.96 = 116,860.76 : x
  2. Step 2: Convert to fraction form
    206,284.76/284,672.96 = 116,860.76/x
  3. Step 3: Cross multiply
    206,284.76x = 284,672.96 × 116,860.76
  4. Step 4: Simplify right side
    206,284.76x = 33,267,098,457.05
  5. Step 5: Solve for x
    x = 33,267,098,457.05/206,284.76
  6. Step 6: Final answer
    x = 161,267.84

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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.