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Finding the Fourth Proportional to 119,706.33, 165,195.23 and 65,990.16

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Solution

The fourth proportional to 119,706.33, 165,195.23 and 65,990.16 is: 91,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,706.33 : 165,195.23 = 65,990.16 : x
  2. Step 2: Convert to fraction form
    119,706.33/165,195.23 = 65,990.16/x
  3. Step 3: Cross multiply
    119,706.33x = 165,195.23 × 65,990.16
  4. Step 4: Simplify right side
    119,706.33x = 10,901,259,658.94
  5. Step 5: Solve for x
    x = 10,901,259,658.94/119,706.33
  6. Step 6: Final answer
    x = 91,066.69

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1.5x scale

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.