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Finding the Fourth Proportional to 205,097.37, 283,034.40 and 113,216.69

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Solution

The fourth proportional to 205,097.37, 283,034.40 and 113,216.69 is: 156,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,097.37 : 283,034.40 = 113,216.69 : x
  2. Step 2: Convert to fraction form
    205,097.37/283,034.40 = 113,216.69/x
  3. Step 3: Cross multiply
    205,097.37x = 283,034.40 × 113,216.69
  4. Step 4: Simplify right side
    205,097.37x = 32,044,217,251.93
  5. Step 5: Solve for x
    x = 32,044,217,251.93/205,097.37
  6. Step 6: Final answer
    x = 156,239.05

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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.