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Finding the Fourth Proportional to 209,473.86, 289,081.20 and 113,984.22

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Solution

The fourth proportional to 209,473.86, 289,081.20 and 113,984.22 is: 157,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,473.86 : 289,081.20 = 113,984.22 : x
  2. Step 2: Convert to fraction form
    209,473.86/289,081.20 = 113,984.22/x
  3. Step 3: Cross multiply
    209,473.86x = 289,081.20 × 113,984.22
  4. Step 4: Simplify right side
    209,473.86x = 32,950,695,098.66
  5. Step 5: Solve for x
    x = 32,950,695,098.66/209,473.86
  6. Step 6: Final answer
    x = 157,302.18

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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.