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Finding the Fourth Proportional to 310,083.48, 465,172.26 and 132,591

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Solution

The fourth proportional to 310,083.48, 465,172.26 and 132,591 is: 198,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,083.48 : 465,172.26 = 132,591 : x
  2. Step 2: Convert to fraction form
    310,083.48/465,172.26 = 132,591/x
  3. Step 3: Cross multiply
    310,083.48x = 465,172.26 × 132,591
  4. Step 4: Simplify right side
    310,083.48x = 61,677,655,125.66
  5. Step 5: Solve for x
    x = 61,677,655,125.66/310,083.48
  6. Step 6: Final answer
    x = 198,906.61

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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.