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Finding the Fourth Proportional to 209,138.36, 288,612.52 and 113,645.57

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Solution

The fourth proportional to 209,138.36, 288,612.52 and 113,645.57 is: 156,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,138.36 : 288,612.52 = 113,645.57 : x
  2. Step 2: Convert to fraction form
    209,138.36/288,612.52 = 113,645.57/x
  3. Step 3: Cross multiply
    209,138.36x = 288,612.52 × 113,645.57
  4. Step 4: Simplify right side
    209,138.36x = 32,799,532,617.36
  5. Step 5: Solve for x
    x = 32,799,532,617.36/209,138.36
  6. Step 6: Final answer
    x = 156,831.74

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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.