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Finding the Fourth Proportional to 119,505, 164,924.78 and 69,204

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Solution

The fourth proportional to 119,505, 164,924.78 and 69,204 is: 95,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,505 : 164,924.78 = 69,204 : x
  2. Step 2: Convert to fraction form
    119,505/164,924.78 = 69,204/x
  3. Step 3: Cross multiply
    119,505x = 164,924.78 × 69,204
  4. Step 4: Simplify right side
    119,505x = 11,413,454,129.10
  5. Step 5: Solve for x
    x = 11,413,454,129.10/119,505
  6. Step 6: Final answer
    x = 95,506.08

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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.