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Finding the Fourth Proportional to 119,706.10, 165,187.29 and 65,993.38

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Solution

The fourth proportional to 119,706.10, 165,187.29 and 65,993.38 is: 91,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,706.10 : 165,187.29 = 65,993.38 : x
  2. Step 2: Convert to fraction form
    119,706.10/165,187.29 = 65,993.38/x
  3. Step 3: Cross multiply
    119,706.10x = 165,187.29 × 65,993.38
  4. Step 4: Simplify right side
    119,706.10x = 10,901,267,600.14
  5. Step 5: Solve for x
    x = 10,901,267,600.14/119,706.10
  6. Step 6: Final answer
    x = 91,066.93

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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.