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Finding the Fourth Proportional to 204,761.70, 282,566.88 and 114,117.30

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Solution

The fourth proportional to 204,761.70, 282,566.88 and 114,117.30 is: 157,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,761.70 : 282,566.88 = 114,117.30 : x
  2. Step 2: Convert to fraction form
    204,761.70/282,566.88 = 114,117.30/x
  3. Step 3: Cross multiply
    204,761.70x = 282,566.88 × 114,117.30
  4. Step 4: Simplify right side
    204,761.70x = 32,245,769,415.02
  5. Step 5: Solve for x
    x = 32,245,769,415.02/204,761.70
  6. Step 6: Final answer
    x = 157,479.50

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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.