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Finding the Fourth Proportional to 106,588.68, 159,883.02 and 54,013.20

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Solution

The fourth proportional to 106,588.68, 159,883.02 and 54,013.20 is: 81,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,588.68 : 159,883.02 = 54,013.20 : x
  2. Step 2: Convert to fraction form
    106,588.68/159,883.02 = 54,013.20/x
  3. Step 3: Cross multiply
    106,588.68x = 159,883.02 × 54,013.20
  4. Step 4: Simplify right side
    106,588.68x = 8,635,793,535.86
  5. Step 5: Solve for x
    x = 8,635,793,535.86/106,588.68
  6. Step 6: Final answer
    x = 81,019.80

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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.