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Finding the Fourth Proportional to 132,163.46, 182,388.30 and 74,802.78

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Solution

The fourth proportional to 132,163.46, 182,388.30 and 74,802.78 is: 103,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,163.46 : 182,388.30 = 74,802.78 : x
  2. Step 2: Convert to fraction form
    132,163.46/182,388.30 = 74,802.78/x
  3. Step 3: Cross multiply
    132,163.46x = 182,388.30 × 74,802.78
  4. Step 4: Simplify right side
    132,163.46x = 13,643,151,879.47
  5. Step 5: Solve for x
    x = 13,643,151,879.47/132,163.46
  6. Step 6: Final answer
    x = 103,229.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.