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Finding the Fourth Proportional to 119,168.52, 164,412.54 and 67,478.58

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Solution

The fourth proportional to 119,168.52, 164,412.54 and 67,478.58 is: 93,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,168.52 : 164,412.54 = 67,478.58 : x
  2. Step 2: Convert to fraction form
    119,168.52/164,412.54 = 67,478.58/x
  3. Step 3: Cross multiply
    119,168.52x = 164,412.54 × 67,478.58
  4. Step 4: Simplify right side
    119,168.52x = 11,094,324,733.39
  5. Step 5: Solve for x
    x = 11,094,324,733.39/119,168.52
  6. Step 6: Final answer
    x = 93,097.78

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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.