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Finding the Fourth Proportional to 204,167, 306,312.60 and 104,397.24

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Solution

The fourth proportional to 204,167, 306,312.60 and 104,397.24 is: 156,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,167 : 306,312.60 = 104,397.24 : x
  2. Step 2: Convert to fraction form
    204,167/306,312.60 = 104,397.24/x
  3. Step 3: Cross multiply
    204,167x = 306,312.60 × 104,397.24
  4. Step 4: Simplify right side
    204,167x = 31,978,190,017.22
  5. Step 5: Solve for x
    x = 31,978,190,017.22/204,167
  6. Step 6: Final answer
    x = 156,627.61

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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.