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Finding the Fourth Proportional to 143,207.56, 214,813.50 and 49,716.28

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Solution

The fourth proportional to 143,207.56, 214,813.50 and 49,716.28 is: 74,575.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,207.56 : 214,813.50 = 49,716.28 : x
  2. Step 2: Convert to fraction form
    143,207.56/214,813.50 = 49,716.28/x
  3. Step 3: Cross multiply
    143,207.56x = 214,813.50 × 49,716.28
  4. Step 4: Simplify right side
    143,207.56x = 10,679,728,113.78
  5. Step 5: Solve for x
    x = 10,679,728,113.78/143,207.56
  6. Step 6: Final answer
    x = 74,575.17

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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.