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Finding the Fourth Proportional to 106,422.20, 159,706.20 and 59,037.20

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Solution

The fourth proportional to 106,422.20, 159,706.20 and 59,037.20 is: 88,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422.20 : 159,706.20 = 59,037.20 : x
  2. Step 2: Convert to fraction form
    106,422.20/159,706.20 = 59,037.20/x
  3. Step 3: Cross multiply
    106,422.20x = 159,706.20 × 59,037.20
  4. Step 4: Simplify right side
    106,422.20x = 9,428,606,870.64
  5. Step 5: Solve for x
    x = 9,428,606,870.64/106,422.20
  6. Step 6: Final answer
    x = 88,596.24

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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.