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Finding the Fourth Proportional to 204,710.48, 282,521.28 and 114,081.20

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Solution

The fourth proportional to 204,710.48, 282,521.28 and 114,081.20 is: 157,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,710.48 : 282,521.28 = 114,081.20 : x
  2. Step 2: Convert to fraction form
    204,710.48/282,521.28 = 114,081.20/x
  3. Step 3: Cross multiply
    204,710.48x = 282,521.28 × 114,081.20
  4. Step 4: Simplify right side
    204,710.48x = 32,230,366,647.94
  5. Step 5: Solve for x
    x = 32,230,366,647.94/204,710.48
  6. Step 6: Final answer
    x = 157,443.66

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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.