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Finding the Fourth Proportional to 119,590.25, 165,027.12 and 65,872.26

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Solution

The fourth proportional to 119,590.25, 165,027.12 and 65,872.26 is: 90,899.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,590.25 : 165,027.12 = 65,872.26 : x
  2. Step 2: Convert to fraction form
    119,590.25/165,027.12 = 65,872.26/x
  3. Step 3: Cross multiply
    119,590.25x = 165,027.12 × 65,872.26
  4. Step 4: Simplify right side
    119,590.25x = 10,870,709,355.69
  5. Step 5: Solve for x
    x = 10,870,709,355.69/119,590.25
  6. Step 6: Final answer
    x = 90,899.63

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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.