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Finding the Fourth Proportional to 109,202.25, 150,674.17 and 61,438.17

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Solution

The fourth proportional to 109,202.25, 150,674.17 and 61,438.17 is: 84,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,202.25 : 150,674.17 = 61,438.17 : x
  2. Step 2: Convert to fraction form
    109,202.25/150,674.17 = 61,438.17/x
  3. Step 3: Cross multiply
    109,202.25x = 150,674.17 × 61,438.17
  4. Step 4: Simplify right side
    109,202.25x = 9,257,145,689.80
  5. Step 5: Solve for x
    x = 9,257,145,689.80/109,202.25
  6. Step 6: Final answer
    x = 84,770.65

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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.