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Finding the Fourth Proportional to 102,865.29, 154,310.27 and 36,291.66

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Solution

The fourth proportional to 102,865.29, 154,310.27 and 36,291.66 is: 54,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,865.29 : 154,310.27 = 36,291.66 : x
  2. Step 2: Convert to fraction form
    102,865.29/154,310.27 = 36,291.66/x
  3. Step 3: Cross multiply
    102,865.29x = 154,310.27 × 36,291.66
  4. Step 4: Simplify right side
    102,865.29x = 5,600,175,671.89
  5. Step 5: Solve for x
    x = 5,600,175,671.89/102,865.29
  6. Step 6: Final answer
    x = 54,441.84

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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.