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Finding the Fourth Proportional to 145,625.94, 218,523.84 and 61,380.96

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Solution

The fourth proportional to 145,625.94, 218,523.84 and 61,380.96 is: 92,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,625.94 : 218,523.84 = 61,380.96 : x
  2. Step 2: Convert to fraction form
    145,625.94/218,523.84 = 61,380.96/x
  3. Step 3: Cross multiply
    145,625.94x = 218,523.84 × 61,380.96
  4. Step 4: Simplify right side
    145,625.94x = 13,413,203,082.09
  5. Step 5: Solve for x
    x = 13,413,203,082.09/145,625.94
  6. Step 6: Final answer
    x = 92,107.24

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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.