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Finding the Fourth Proportional to 194,034.86, 291,087.54 and 80,182.94

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Solution

The fourth proportional to 194,034.86, 291,087.54 and 80,182.94 is: 120,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,034.86 : 291,087.54 = 80,182.94 : x
  2. Step 2: Convert to fraction form
    194,034.86/291,087.54 = 80,182.94/x
  3. Step 3: Cross multiply
    194,034.86x = 291,087.54 × 80,182.94
  4. Step 4: Simplify right side
    194,034.86x = 23,340,254,754.57
  5. Step 5: Solve for x
    x = 23,340,254,754.57/194,034.86
  6. Step 6: Final answer
    x = 120,288.98

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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.