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Finding the Fourth Proportional to 187,806.91, 281,710.88 and 54,690.43

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Solution

The fourth proportional to 187,806.91, 281,710.88 and 54,690.43 is: 82,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,806.91 : 281,710.88 = 54,690.43 : x
  2. Step 2: Convert to fraction form
    187,806.91/281,710.88 = 54,690.43/x
  3. Step 3: Cross multiply
    187,806.91x = 281,710.88 × 54,690.43
  4. Step 4: Simplify right side
    187,806.91x = 15,406,889,162.88
  5. Step 5: Solve for x
    x = 15,406,889,162.88/187,806.91
  6. Step 6: Final answer
    x = 82,035.79

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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.