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Finding the Fourth Proportional to 205,123.92, 283,085.22 and 114,497.52

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Solution

The fourth proportional to 205,123.92, 283,085.22 and 114,497.52 is: 158,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,123.92 : 283,085.22 = 114,497.52 : x
  2. Step 2: Convert to fraction form
    205,123.92/283,085.22 = 114,497.52/x
  3. Step 3: Cross multiply
    205,123.92x = 283,085.22 × 114,497.52
  4. Step 4: Simplify right side
    205,123.92x = 32,412,555,638.65
  5. Step 5: Solve for x
    x = 32,412,555,638.65/205,123.92
  6. Step 6: Final answer
    x = 158,014.51

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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.