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Finding the Fourth Proportional to 209,138.08, 313,708.16 and 51,366.56

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Solution

The fourth proportional to 209,138.08, 313,708.16 and 51,366.56 is: 77,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,138.08 : 313,708.16 = 51,366.56 : x
  2. Step 2: Convert to fraction form
    209,138.08/313,708.16 = 51,366.56/x
  3. Step 3: Cross multiply
    209,138.08x = 313,708.16 × 51,366.56
  4. Step 4: Simplify right side
    209,138.08x = 16,114,109,023.13
  5. Step 5: Solve for x
    x = 16,114,109,023.13/209,138.08
  6. Step 6: Final answer
    x = 77,050.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.