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Finding the Fourth Proportional to 144,227.57, 198,993.51 and 82,970.57

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Solution

The fourth proportional to 144,227.57, 198,993.51 and 82,970.57 is: 114,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,227.57 : 198,993.51 = 82,970.57 : x
  2. Step 2: Convert to fraction form
    144,227.57/198,993.51 = 82,970.57/x
  3. Step 3: Cross multiply
    144,227.57x = 198,993.51 × 82,970.57
  4. Step 4: Simplify right side
    144,227.57x = 16,510,603,956.03
  5. Step 5: Solve for x
    x = 16,510,603,956.03/144,227.57
  6. Step 6: Final answer
    x = 114,476.06

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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.