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Finding the Fourth Proportional to 209,310.16, 313,976.10 and 69,079.72

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Solution

The fourth proportional to 209,310.16, 313,976.10 and 69,079.72 is: 103,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,310.16 : 313,976.10 = 69,079.72 : x
  2. Step 2: Convert to fraction form
    209,310.16/313,976.10 = 69,079.72/x
  3. Step 3: Cross multiply
    209,310.16x = 313,976.10 × 69,079.72
  4. Step 4: Simplify right side
    209,310.16x = 21,689,381,074.69
  5. Step 5: Solve for x
    x = 21,689,381,074.69/209,310.16
  6. Step 6: Final answer
    x = 103,623.16

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Why These Related Problems?

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