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Finding the Fourth Proportional to 129,584.52, 178,825.86 and 73,014.12

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Solution

The fourth proportional to 129,584.52, 178,825.86 and 73,014.12 is: 100,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,584.52 : 178,825.86 = 73,014.12 : x
  2. Step 2: Convert to fraction form
    129,584.52/178,825.86 = 73,014.12/x
  3. Step 3: Cross multiply
    129,584.52x = 178,825.86 × 73,014.12
  4. Step 4: Simplify right side
    129,584.52x = 13,056,812,801.14
  5. Step 5: Solve for x
    x = 13,056,812,801.14/129,584.52
  6. Step 6: Final answer
    x = 100,759.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.