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Finding the Fourth Proportional to 140,889.41, 194,434.84 and 77,229.89

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Solution

The fourth proportional to 140,889.41, 194,434.84 and 77,229.89 is: 106,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,889.41 : 194,434.84 = 77,229.89 : x
  2. Step 2: Convert to fraction form
    140,889.41/194,434.84 = 77,229.89/x
  3. Step 3: Cross multiply
    140,889.41x = 194,434.84 × 77,229.89
  4. Step 4: Simplify right side
    140,889.41x = 15,016,181,887.99
  5. Step 5: Solve for x
    x = 15,016,181,887.99/140,889.41
  6. Step 6: Final answer
    x = 106,581.34

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1.5x scale

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.