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Finding the Fourth Proportional to 140,776.38, 194,274.54 and 80,345.81

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Solution

The fourth proportional to 140,776.38, 194,274.54 and 80,345.81 is: 110,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,776.38 : 194,274.54 = 80,345.81 : x
  2. Step 2: Convert to fraction form
    140,776.38/194,274.54 = 80,345.81/x
  3. Step 3: Cross multiply
    140,776.38x = 194,274.54 × 80,345.81
  4. Step 4: Simplify right side
    140,776.38x = 15,609,145,278.68
  5. Step 5: Solve for x
    x = 15,609,145,278.68/140,776.38
  6. Step 6: Final answer
    x = 110,879.01

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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.