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Finding the Fourth Proportional to 197,405.40, 272,418.66 and 106,761.46

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Solution

The fourth proportional to 197,405.40, 272,418.66 and 106,761.46 is: 147,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,405.40 : 272,418.66 = 106,761.46 : x
  2. Step 2: Convert to fraction form
    197,405.40/272,418.66 = 106,761.46/x
  3. Step 3: Cross multiply
    197,405.40x = 272,418.66 × 106,761.46
  4. Step 4: Simplify right side
    197,405.40x = 29,083,813,872.84
  5. Step 5: Solve for x
    x = 29,083,813,872.84/197,405.40
  6. Step 6: Final answer
    x = 147,330.39

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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.