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Finding the Fourth Proportional to 120,616.52, 181,035.78 and 61,496.24

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Solution

The fourth proportional to 120,616.52, 181,035.78 and 61,496.24 is: 92,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.52 : 181,035.78 = 61,496.24 : x
  2. Step 2: Convert to fraction form
    120,616.52/181,035.78 = 61,496.24/x
  3. Step 3: Cross multiply
    120,616.52x = 181,035.78 × 61,496.24
  4. Step 4: Simplify right side
    120,616.52x = 11,133,019,775.47
  5. Step 5: Solve for x
    x = 11,133,019,775.47/120,616.52
  6. Step 6: Final answer
    x = 92,300.95

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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.