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Finding the Fourth Proportional to 206,215.92, 308,701.08 and 186,503.76

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Solution

The fourth proportional to 206,215.92, 308,701.08 and 186,503.76 is: 279,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,215.92 : 308,701.08 = 186,503.76 : x
  2. Step 2: Convert to fraction form
    206,215.92/308,701.08 = 186,503.76/x
  3. Step 3: Cross multiply
    206,215.92x = 308,701.08 × 186,503.76
  4. Step 4: Simplify right side
    206,215.92x = 57,573,912,136.06
  5. Step 5: Solve for x
    x = 57,573,912,136.06/206,215.92
  6. Step 6: Final answer
    x = 279,192.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.