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Finding the Fourth Proportional to 119,154.52, 164,323.38 and 80,971.06

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Solution

The fourth proportional to 119,154.52, 164,323.38 and 80,971.06 is: 111,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,154.52 : 164,323.38 = 80,971.06 : x
  2. Step 2: Convert to fraction form
    119,154.52/164,323.38 = 80,971.06/x
  3. Step 3: Cross multiply
    119,154.52x = 164,323.38 × 80,971.06
  4. Step 4: Simplify right side
    119,154.52x = 13,305,438,261.38
  5. Step 5: Solve for x
    x = 13,305,438,261.38/119,154.52
  6. Step 6: Final answer
    x = 111,665.41

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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.