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Finding the Fourth Proportional to 209,378.74, 288,949.11 and 118,738.42

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Solution

The fourth proportional to 209,378.74, 288,949.11 and 118,738.42 is: 163,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,378.74 : 288,949.11 = 118,738.42 : x
  2. Step 2: Convert to fraction form
    209,378.74/288,949.11 = 118,738.42/x
  3. Step 3: Cross multiply
    209,378.74x = 288,949.11 × 118,738.42
  4. Step 4: Simplify right side
    209,378.74x = 34,309,360,781.81
  5. Step 5: Solve for x
    x = 34,309,360,781.81/209,378.74
  6. Step 6: Final answer
    x = 163,862.68

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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.