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Finding the Fourth Proportional to 187,982.36, 282,047.34 and 82,727.50

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Solution

The fourth proportional to 187,982.36, 282,047.34 and 82,727.50 is: 124,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,982.36 : 282,047.34 = 82,727.50 : x
  2. Step 2: Convert to fraction form
    187,982.36/282,047.34 = 82,727.50/x
  3. Step 3: Cross multiply
    187,982.36x = 282,047.34 × 82,727.50
  4. Step 4: Simplify right side
    187,982.36x = 23,333,069,909.61
  5. Step 5: Solve for x
    x = 23,333,069,909.61/187,982.36
  6. Step 6: Final answer
    x = 124,123.72

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