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Finding the Fourth Proportional to 119,169, 164,457.54 and 68,190.84

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Solution

The fourth proportional to 119,169, 164,457.54 and 68,190.84 is: 94,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,169 : 164,457.54 = 68,190.84 : x
  2. Step 2: Convert to fraction form
    119,169/164,457.54 = 68,190.84/x
  3. Step 3: Cross multiply
    119,169x = 164,457.54 × 68,190.84
  4. Step 4: Simplify right side
    119,169x = 11,214,497,796.93
  5. Step 5: Solve for x
    x = 11,214,497,796.93/119,169
  6. Step 6: Final answer
    x = 94,105.83

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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.