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Finding the Fourth Proportional to 106,758.42, 159,805.44 and 67,232.46

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Solution

The fourth proportional to 106,758.42, 159,805.44 and 67,232.46 is: 100,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,758.42 : 159,805.44 = 67,232.46 : x
  2. Step 2: Convert to fraction form
    106,758.42/159,805.44 = 67,232.46/x
  3. Step 3: Cross multiply
    106,758.42x = 159,805.44 × 67,232.46
  4. Step 4: Simplify right side
    106,758.42x = 10,744,112,852.58
  5. Step 5: Solve for x
    x = 10,744,112,852.58/106,758.42
  6. Step 6: Final answer
    x = 100,639.49

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1.5x scale

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.