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Finding the Fourth Proportional to 204,966.29, 282,853.97 and 114,328.12

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Solution

The fourth proportional to 204,966.29, 282,853.97 and 114,328.12 is: 157,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,966.29 : 282,853.97 = 114,328.12 : x
  2. Step 2: Convert to fraction form
    204,966.29/282,853.97 = 114,328.12/x
  3. Step 3: Cross multiply
    204,966.29x = 282,853.97 × 114,328.12
  4. Step 4: Simplify right side
    204,966.29x = 32,338,163,345.80
  5. Step 5: Solve for x
    x = 32,338,163,345.80/204,966.29
  6. Step 6: Final answer
    x = 157,773.09

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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.