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Finding the Fourth Proportional to 205,328.16, 283,318.56 and 114,680.16

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Solution

The fourth proportional to 205,328.16, 283,318.56 and 114,680.16 is: 158,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,328.16 : 283,318.56 = 114,680.16 : x
  2. Step 2: Convert to fraction form
    205,328.16/283,318.56 = 114,680.16/x
  3. Step 3: Cross multiply
    205,328.16x = 283,318.56 × 114,680.16
  4. Step 4: Simplify right side
    205,328.16x = 32,491,017,791.77
  5. Step 5: Solve for x
    x = 32,491,017,791.77/205,328.16
  6. Step 6: Final answer
    x = 158,239.46

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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.