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Finding the Fourth Proportional to 154,467.92, 231,728.32 and 65,722.16

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Solution

The fourth proportional to 154,467.92, 231,728.32 and 65,722.16 is: 98,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467.92 : 231,728.32 = 65,722.16 : x
  2. Step 2: Convert to fraction form
    154,467.92/231,728.32 = 65,722.16/x
  3. Step 3: Cross multiply
    154,467.92x = 231,728.32 × 65,722.16
  4. Step 4: Simplify right side
    154,467.92x = 15,229,685,723.57
  5. Step 5: Solve for x
    x = 15,229,685,723.57/154,467.92
  6. Step 6: Final answer
    x = 98,594.49

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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.