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Finding the Fourth Proportional to 241,658.87, 362,288.72 and 106,626.80

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Solution

The fourth proportional to 241,658.87, 362,288.72 and 106,626.80 is: 159,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,658.87 : 362,288.72 = 106,626.80 : x
  2. Step 2: Convert to fraction form
    241,658.87/362,288.72 = 106,626.80/x
  3. Step 3: Cross multiply
    241,658.87x = 362,288.72 × 106,626.80
  4. Step 4: Simplify right side
    241,658.87x = 38,629,684,545.12
  5. Step 5: Solve for x
    x = 38,629,684,545.12/241,658.87
  6. Step 6: Final answer
    x = 159,852.13

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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.