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Finding the Fourth Proportional to 205,315.16, 283,331.86 and 114,672.65

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Solution

The fourth proportional to 205,315.16, 283,331.86 and 114,672.65 is: 158,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,315.16 : 283,331.86 = 114,672.65 : x
  2. Step 2: Convert to fraction form
    205,315.16/283,331.86 = 114,672.65/x
  3. Step 3: Cross multiply
    205,315.16x = 283,331.86 × 114,672.65
  4. Step 4: Simplify right side
    205,315.16x = 32,490,413,512.29
  5. Step 5: Solve for x
    x = 32,490,413,512.29/205,315.16
  6. Step 6: Final answer
    x = 158,246.54

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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.