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Finding the Fourth Proportional to 217,152.66, 325,772.51 and 75,003.15

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Solution

The fourth proportional to 217,152.66, 325,772.51 and 75,003.15 is: 112,519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,152.66 : 325,772.51 = 75,003.15 : x
  2. Step 2: Convert to fraction form
    217,152.66/325,772.51 = 75,003.15/x
  3. Step 3: Cross multiply
    217,152.66x = 325,772.51 × 75,003.15
  4. Step 4: Simplify right side
    217,152.66x = 24,433,964,433.41
  5. Step 5: Solve for x
    x = 24,433,964,433.41/217,152.66
  6. Step 6: Final answer
    x = 112,519.76

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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.