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Finding the Fourth Proportional to 178,456.63, 267,328.05 and 107,340

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Solution

The fourth proportional to 178,456.63, 267,328.05 and 107,340 is: 160,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,456.63 : 267,328.05 = 107,340 : x
  2. Step 2: Convert to fraction form
    178,456.63/267,328.05 = 107,340/x
  3. Step 3: Cross multiply
    178,456.63x = 267,328.05 × 107,340
  4. Step 4: Simplify right side
    178,456.63x = 28,694,992,887
  5. Step 5: Solve for x
    x = 28,694,992,887/178,456.63
  6. Step 6: Final answer
    x = 160,795.33

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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.