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Finding the Fourth Proportional to 262,568.48, 393,849.92 and 178,119.52

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Solution

The fourth proportional to 262,568.48, 393,849.92 and 178,119.52 is: 267,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,568.48 : 393,849.92 = 178,119.52 : x
  2. Step 2: Convert to fraction form
    262,568.48/393,849.92 = 178,119.52/x
  3. Step 3: Cross multiply
    262,568.48x = 393,849.92 × 178,119.52
  4. Step 4: Simplify right side
    262,568.48x = 70,152,358,702.44
  5. Step 5: Solve for x
    x = 70,152,358,702.44/262,568.48
  6. Step 6: Final answer
    x = 267,177.38

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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.