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Finding the Fourth Proportional to 106,871.83, 160,202.03 and 50,613.08

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Solution

The fourth proportional to 106,871.83, 160,202.03 and 50,613.08 is: 75,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871.83 : 160,202.03 = 50,613.08 : x
  2. Step 2: Convert to fraction form
    106,871.83/160,202.03 = 50,613.08/x
  3. Step 3: Cross multiply
    106,871.83x = 160,202.03 × 50,613.08
  4. Step 4: Simplify right side
    106,871.83x = 8,108,317,106.48
  5. Step 5: Solve for x
    x = 8,108,317,106.48/106,871.83
  6. Step 6: Final answer
    x = 75,869.55

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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.