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Finding the Fourth Proportional to 143,224.65, 214,863.30 and 47,167.16

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Solution

The fourth proportional to 143,224.65, 214,863.30 and 47,167.16 is: 70,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,224.65 : 214,863.30 = 47,167.16 : x
  2. Step 2: Convert to fraction form
    143,224.65/214,863.30 = 47,167.16/x
  3. Step 3: Cross multiply
    143,224.65x = 214,863.30 × 47,167.16
  4. Step 4: Simplify right side
    143,224.65x = 10,134,490,574.91
  5. Step 5: Solve for x
    x = 10,134,490,574.91/143,224.65
  6. Step 6: Final answer
    x = 70,759.40

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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.