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Finding the Fourth Proportional to 514,885.88, 772,380.72 and 135,832.82

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Solution

The fourth proportional to 514,885.88, 772,380.72 and 135,832.82 is: 203,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,885.88 : 772,380.72 = 135,832.82 : x
  2. Step 2: Convert to fraction form
    514,885.88/772,380.72 = 135,832.82/x
  3. Step 3: Cross multiply
    514,885.88x = 772,380.72 × 135,832.82
  4. Step 4: Simplify right side
    514,885.88x = 104,914,647,449.33
  5. Step 5: Solve for x
    x = 104,914,647,449.33/514,885.88
  6. Step 6: Final answer
    x = 203,762.91

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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.