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Finding the Fourth Proportional to 119,647.82, 165,111.80 and 65,937.62

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Solution

The fourth proportional to 119,647.82, 165,111.80 and 65,937.62 is: 90,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,647.82 : 165,111.80 = 65,937.62 : x
  2. Step 2: Convert to fraction form
    119,647.82/165,111.80 = 65,937.62/x
  3. Step 3: Cross multiply
    119,647.82x = 165,111.80 × 65,937.62
  4. Step 4: Simplify right side
    119,647.82x = 10,887,079,125.92
  5. Step 5: Solve for x
    x = 10,887,079,125.92/119,647.82
  6. Step 6: Final answer
    x = 90,992.71

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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.