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Finding the Fourth Proportional to 178,568.32, 246,432 and 106,960

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Solution

The fourth proportional to 178,568.32, 246,432 and 106,960 is: 147,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,568.32 : 246,432 = 106,960 : x
  2. Step 2: Convert to fraction form
    178,568.32/246,432 = 106,960/x
  3. Step 3: Cross multiply
    178,568.32x = 246,432 × 106,960
  4. Step 4: Simplify right side
    178,568.32x = 26,358,366,720
  5. Step 5: Solve for x
    x = 26,358,366,720/178,568.32
  6. Step 6: Final answer
    x = 147,609.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.