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Finding the Fourth Proportional to 205,314.12, 283,305.33 and 114,658.56

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Solution

The fourth proportional to 205,314.12, 283,305.33 and 114,658.56 is: 158,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.12 : 283,305.33 = 114,658.56 : x
  2. Step 2: Convert to fraction form
    205,314.12/283,305.33 = 114,658.56/x
  3. Step 3: Cross multiply
    205,314.12x = 283,305.33 × 114,658.56
  4. Step 4: Simplify right side
    205,314.12x = 32,483,381,178.12
  5. Step 5: Solve for x
    x = 32,483,381,178.12/205,314.12
  6. Step 6: Final answer
    x = 158,213.09

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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.