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Finding the Fourth Proportional to 106,870.80, 160,268.40 and 36,733.80

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Solution

The fourth proportional to 106,870.80, 160,268.40 and 36,733.80 is: 55,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,870.80 : 160,268.40 = 36,733.80 : x
  2. Step 2: Convert to fraction form
    106,870.80/160,268.40 = 36,733.80/x
  3. Step 3: Cross multiply
    106,870.80x = 160,268.40 × 36,733.80
  4. Step 4: Simplify right side
    106,870.80x = 5,887,267,351.92
  5. Step 5: Solve for x
    x = 5,887,267,351.92/106,870.80
  6. Step 6: Final answer
    x = 55,087.71

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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.