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Finding the Fourth Proportional to 106,931.60, 160,324.49 and 54,239.48

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Solution

The fourth proportional to 106,931.60, 160,324.49 and 54,239.48 is: 81,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931.60 : 160,324.49 = 54,239.48 : x
  2. Step 2: Convert to fraction form
    106,931.60/160,324.49 = 54,239.48/x
  3. Step 3: Cross multiply
    106,931.60x = 160,324.49 × 54,239.48
  4. Step 4: Simplify right side
    106,931.60x = 8,695,915,896.05
  5. Step 5: Solve for x
    x = 8,695,915,896.05/106,931.60
  6. Step 6: Final answer
    x = 81,322.23

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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.