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Finding the Fourth Proportional to 206,711.95, 285,244.98 and 116,060.80

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Solution

The fourth proportional to 206,711.95, 285,244.98 and 116,060.80 is: 160,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711.95 : 285,244.98 = 116,060.80 : x
  2. Step 2: Convert to fraction form
    206,711.95/285,244.98 = 116,060.80/x
  3. Step 3: Cross multiply
    206,711.95x = 285,244.98 × 116,060.80
  4. Step 4: Simplify right side
    206,711.95x = 33,105,760,574.78
  5. Step 5: Solve for x
    x = 33,105,760,574.78/206,711.95
  6. Step 6: Final answer
    x = 160,154.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.