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Finding the Fourth Proportional to 101,763.64, 152,447.82 and 57,254.68

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Solution

The fourth proportional to 101,763.64, 152,447.82 and 57,254.68 is: 85,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,763.64 : 152,447.82 = 57,254.68 : x
  2. Step 2: Convert to fraction form
    101,763.64/152,447.82 = 57,254.68/x
  3. Step 3: Cross multiply
    101,763.64x = 152,447.82 × 57,254.68
  4. Step 4: Simplify right side
    101,763.64x = 8,728,351,150.80
  5. Step 5: Solve for x
    x = 8,728,351,150.80/101,763.64
  6. Step 6: Final answer
    x = 85,770.82

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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.