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Finding the Fourth Proportional to 106,667.80, 160,131.30 and 54,050.20

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Solution

The fourth proportional to 106,667.80, 160,131.30 and 54,050.20 is: 81,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,667.80 : 160,131.30 = 54,050.20 : x
  2. Step 2: Convert to fraction form
    106,667.80/160,131.30 = 54,050.20/x
  3. Step 3: Cross multiply
    106,667.80x = 160,131.30 × 54,050.20
  4. Step 4: Simplify right side
    106,667.80x = 8,655,128,791.26
  5. Step 5: Solve for x
    x = 8,655,128,791.26/106,667.80
  6. Step 6: Final answer
    x = 81,140.97

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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.