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Finding the Fourth Proportional to 164,348.84, 226,804.40 and 96,414.56

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Solution

The fourth proportional to 164,348.84, 226,804.40 and 96,414.56 is: 133,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,348.84 : 226,804.40 = 96,414.56 : x
  2. Step 2: Convert to fraction form
    164,348.84/226,804.40 = 96,414.56/x
  3. Step 3: Cross multiply
    164,348.84x = 226,804.40 × 96,414.56
  4. Step 4: Simplify right side
    164,348.84x = 21,867,246,432.06
  5. Step 5: Solve for x
    x = 21,867,246,432.06/164,348.84
  6. Step 6: Final answer
    x = 133,053.85

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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.