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Finding the Fourth Proportional to 178,891.64, 246,767.67 and 111,707

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Solution

The fourth proportional to 178,891.64, 246,767.67 and 111,707 is: 154,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891.64 : 246,767.67 = 111,707 : x
  2. Step 2: Convert to fraction form
    178,891.64/246,767.67 = 111,707/x
  3. Step 3: Cross multiply
    178,891.64x = 246,767.67 × 111,707
  4. Step 4: Simplify right side
    178,891.64x = 27,565,675,833.42
  5. Step 5: Solve for x
    x = 27,565,675,833.42/178,891.64
  6. Step 6: Final answer
    x = 154,091.47

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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.