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Finding the Fourth Proportional to 107,266.73, 160,787.82 and 36,164.80

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Solution

The fourth proportional to 107,266.73, 160,787.82 and 36,164.80 is: 54,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,266.73 : 160,787.82 = 36,164.80 : x
  2. Step 2: Convert to fraction form
    107,266.73/160,787.82 = 36,164.80/x
  3. Step 3: Cross multiply
    107,266.73x = 160,787.82 × 36,164.80
  4. Step 4: Simplify right side
    107,266.73x = 5,814,859,352.74
  5. Step 5: Solve for x
    x = 5,814,859,352.74/107,266.73
  6. Step 6: Final answer
    x = 54,209.35

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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.