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Finding the Fourth Proportional to 119,006.12, 164,233.38 and 68,027.24

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Solution

The fourth proportional to 119,006.12, 164,233.38 and 68,027.24 is: 93,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,006.12 : 164,233.38 = 68,027.24 : x
  2. Step 2: Convert to fraction form
    119,006.12/164,233.38 = 68,027.24/x
  3. Step 3: Cross multiply
    119,006.12x = 164,233.38 × 68,027.24
  4. Step 4: Simplify right side
    119,006.12x = 11,172,343,557.27
  5. Step 5: Solve for x
    x = 11,172,343,557.27/119,006.12
  6. Step 6: Final answer
    x = 93,880.41

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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.