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Finding the Fourth Proportional to 155,797.40, 233,727.53 and 49,198

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Solution

The fourth proportional to 155,797.40, 233,727.53 and 49,198 is: 73,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,797.40 : 233,727.53 = 49,198 : x
  2. Step 2: Convert to fraction form
    155,797.40/233,727.53 = 49,198/x
  3. Step 3: Cross multiply
    155,797.40x = 233,727.53 × 49,198
  4. Step 4: Simplify right side
    155,797.40x = 11,498,927,020.94
  5. Step 5: Solve for x
    x = 11,498,927,020.94/155,797.40
  6. Step 6: Final answer
    x = 73,806.93

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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.