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Finding the Fourth Proportional to 204,406.34, 282,088.89 and 113,766.12

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Solution

The fourth proportional to 204,406.34, 282,088.89 and 113,766.12 is: 157,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,406.34 : 282,088.89 = 113,766.12 : x
  2. Step 2: Convert to fraction form
    204,406.34/282,088.89 = 113,766.12/x
  3. Step 3: Cross multiply
    204,406.34x = 282,088.89 × 113,766.12
  4. Step 4: Simplify right side
    204,406.34x = 32,092,158,510.41
  5. Step 5: Solve for x
    x = 32,092,158,510.41/204,406.34
  6. Step 6: Final answer
    x = 157,001.78

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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.