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Finding the Fourth Proportional to 119,294.28, 164,626.44 and 65,584.80

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Solution

The fourth proportional to 119,294.28, 164,626.44 and 65,584.80 is: 90,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,294.28 : 164,626.44 = 65,584.80 : x
  2. Step 2: Convert to fraction form
    119,294.28/164,626.44 = 65,584.80/x
  3. Step 3: Cross multiply
    119,294.28x = 164,626.44 × 65,584.80
  4. Step 4: Simplify right side
    119,294.28x = 10,796,992,142.11
  5. Step 5: Solve for x
    x = 10,796,992,142.11/119,294.28
  6. Step 6: Final answer
    x = 90,507.21

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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.