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Finding the Fourth Proportional to 205,868.69, 283,873.19 and 134,115.65

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Solution

The fourth proportional to 205,868.69, 283,873.19 and 134,115.65 is: 184,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,868.69 : 283,873.19 = 134,115.65 : x
  2. Step 2: Convert to fraction form
    205,868.69/283,873.19 = 134,115.65/x
  3. Step 3: Cross multiply
    205,868.69x = 283,873.19 × 134,115.65
  4. Step 4: Simplify right side
    205,868.69x = 38,071,837,394.42
  5. Step 5: Solve for x
    x = 38,071,837,394.42/205,868.69
  6. Step 6: Final answer
    x = 184,932.63

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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.