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Finding the Fourth Proportional to 178,480.96, 267,738.24 and 127,403.68

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Solution

The fourth proportional to 178,480.96, 267,738.24 and 127,403.68 is: 191,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,480.96 : 267,738.24 = 127,403.68 : x
  2. Step 2: Convert to fraction form
    178,480.96/267,738.24 = 127,403.68/x
  3. Step 3: Cross multiply
    178,480.96x = 267,738.24 × 127,403.68
  4. Step 4: Simplify right side
    178,480.96x = 34,110,837,052.72
  5. Step 5: Solve for x
    x = 34,110,837,052.72/178,480.96
  6. Step 6: Final answer
    x = 191,117.51

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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.