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Finding the Fourth Proportional to 143,311.26, 214,966.88 and 49,817

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Solution

The fourth proportional to 143,311.26, 214,966.88 and 49,817 is: 74,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,311.26 : 214,966.88 = 49,817 : x
  2. Step 2: Convert to fraction form
    143,311.26/214,966.88 = 49,817/x
  3. Step 3: Cross multiply
    143,311.26x = 214,966.88 × 49,817
  4. Step 4: Simplify right side
    143,311.26x = 10,709,005,060.96
  5. Step 5: Solve for x
    x = 10,709,005,060.96/143,311.26
  6. Step 6: Final answer
    x = 74,725.50

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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.