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Finding the Fourth Proportional to 206,282.76, 284,670.20 and 116,858.76

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Solution

The fourth proportional to 206,282.76, 284,670.20 and 116,858.76 is: 161,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,282.76 : 284,670.20 = 116,858.76 : x
  2. Step 2: Convert to fraction form
    206,282.76/284,670.20 = 116,858.76/x
  3. Step 3: Cross multiply
    206,282.76x = 284,670.20 × 116,858.76
  4. Step 4: Simplify right side
    206,282.76x = 33,266,206,580.95
  5. Step 5: Solve for x
    x = 33,266,206,580.95/206,282.76
  6. Step 6: Final answer
    x = 161,265.08

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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.