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Finding the Fourth Proportional to 119,633.10, 165,091.41 and 65,923.08

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Solution

The fourth proportional to 119,633.10, 165,091.41 and 65,923.08 is: 90,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,633.10 : 165,091.41 = 65,923.08 : x
  2. Step 2: Convert to fraction form
    119,633.10/165,091.41 = 65,923.08/x
  3. Step 3: Cross multiply
    119,633.10x = 165,091.41 × 65,923.08
  4. Step 4: Simplify right side
    119,633.10x = 10,883,334,228.74
  5. Step 5: Solve for x
    x = 10,883,334,228.74/119,633.10
  6. Step 6: Final answer
    x = 90,972.60

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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.