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Finding the Fourth Proportional to 143,234.88, 214,863.84 and 48,464.16

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Solution

The fourth proportional to 143,234.88, 214,863.84 and 48,464.16 is: 72,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,234.88 : 214,863.84 = 48,464.16 : x
  2. Step 2: Convert to fraction form
    143,234.88/214,863.84 = 48,464.16/x
  3. Step 3: Cross multiply
    143,234.88x = 214,863.84 × 48,464.16
  4. Step 4: Simplify right side
    143,234.88x = 10,413,195,519.97
  5. Step 5: Solve for x
    x = 10,413,195,519.97/143,234.88
  6. Step 6: Final answer
    x = 72,700.14

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1.5x scale

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.