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Finding the Fourth Proportional to 99,658.12, 149,557.24 and 90,129.54

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Solution

The fourth proportional to 99,658.12, 149,557.24 and 90,129.54 is: 135,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,658.12 : 149,557.24 = 90,129.54 : x
  2. Step 2: Convert to fraction form
    99,658.12/149,557.24 = 90,129.54/x
  3. Step 3: Cross multiply
    99,658.12x = 149,557.24 × 90,129.54
  4. Step 4: Simplify right side
    99,658.12x = 13,479,524,149.50
  5. Step 5: Solve for x
    x = 13,479,524,149.50/99,658.12
  6. Step 6: Final answer
    x = 135,257.66

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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.