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Finding the Fourth Proportional to 143,257.97, 214,813.12 and 64,304.52

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Solution

The fourth proportional to 143,257.97, 214,813.12 and 64,304.52 is: 96,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,257.97 : 214,813.12 = 64,304.52 : x
  2. Step 2: Convert to fraction form
    143,257.97/214,813.12 = 64,304.52/x
  3. Step 3: Cross multiply
    143,257.97x = 214,813.12 × 64,304.52
  4. Step 4: Simplify right side
    143,257.97x = 13,813,454,571.30
  5. Step 5: Solve for x
    x = 13,813,454,571.30/143,257.97
  6. Step 6: Final answer
    x = 96,423.64

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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.