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Finding the Fourth Proportional to 209,412.31, 288,992.46 and 113,919.52

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Solution

The fourth proportional to 209,412.31, 288,992.46 and 113,919.52 is: 157,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,412.31 : 288,992.46 = 113,919.52 : x
  2. Step 2: Convert to fraction form
    209,412.31/288,992.46 = 113,919.52/x
  3. Step 3: Cross multiply
    209,412.31x = 288,992.46 × 113,919.52
  4. Step 4: Simplify right side
    209,412.31x = 32,921,882,326.82
  5. Step 5: Solve for x
    x = 32,921,882,326.82/209,412.31
  6. Step 6: Final answer
    x = 157,210.83

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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.