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Finding the Fourth Proportional to 209,436.39, 289,023.48 and 113,943.77

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Solution

The fourth proportional to 209,436.39, 289,023.48 and 113,943.77 is: 157,243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,436.39 : 289,023.48 = 113,943.77 : x
  2. Step 2: Convert to fraction form
    209,436.39/289,023.48 = 113,943.77/x
  3. Step 3: Cross multiply
    209,436.39x = 289,023.48 × 113,943.77
  4. Step 4: Simplify right side
    209,436.39x = 32,932,423,484.60
  5. Step 5: Solve for x
    x = 32,932,423,484.60/209,436.39
  6. Step 6: Final answer
    x = 157,243.09

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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.