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Finding the Fourth Proportional to 135,850.88, 203,782.80 and 56,967.68

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Solution

The fourth proportional to 135,850.88, 203,782.80 and 56,967.68 is: 85,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,850.88 : 203,782.80 = 56,967.68 : x
  2. Step 2: Convert to fraction form
    135,850.88/203,782.80 = 56,967.68/x
  3. Step 3: Cross multiply
    135,850.88x = 203,782.80 × 56,967.68
  4. Step 4: Simplify right side
    135,850.88x = 11,609,033,339.90
  5. Step 5: Solve for x
    x = 11,609,033,339.90/135,850.88
  6. Step 6: Final answer
    x = 85,454.24

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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.