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Finding the Fourth Proportional to 140,891.50, 194,450.16 and 87,193.81

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Solution

The fourth proportional to 140,891.50, 194,450.16 and 87,193.81 is: 120,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,891.50 : 194,450.16 = 87,193.81 : x
  2. Step 2: Convert to fraction form
    140,891.50/194,450.16 = 87,193.81/x
  3. Step 3: Cross multiply
    140,891.50x = 194,450.16 × 87,193.81
  4. Step 4: Simplify right side
    140,891.50x = 16,954,850,305.51
  5. Step 5: Solve for x
    x = 16,954,850,305.51/140,891.50
  6. Step 6: Final answer
    x = 120,339.77

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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.