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Finding the Fourth Proportional to 107,894.70, 161,816.13 and 55,277.10

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Solution

The fourth proportional to 107,894.70, 161,816.13 and 55,277.10 is: 82,902.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,894.70 : 161,816.13 = 55,277.10 : x
  2. Step 2: Convert to fraction form
    107,894.70/161,816.13 = 55,277.10/x
  3. Step 3: Cross multiply
    107,894.70x = 161,816.13 × 55,277.10
  4. Step 4: Simplify right side
    107,894.70x = 8,944,726,399.62
  5. Step 5: Solve for x
    x = 8,944,726,399.62/107,894.70
  6. Step 6: Final answer
    x = 82,902.37

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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.