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Finding the Fourth Proportional to 119,703.84, 165,189.24 and 65,993.84

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Solution

The fourth proportional to 119,703.84, 165,189.24 and 65,993.84 is: 91,070.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,703.84 : 165,189.24 = 65,993.84 : x
  2. Step 2: Convert to fraction form
    119,703.84/165,189.24 = 65,993.84/x
  3. Step 3: Cross multiply
    119,703.84x = 165,189.24 × 65,993.84
  4. Step 4: Simplify right side
    119,703.84x = 10,901,472,274.28
  5. Step 5: Solve for x
    x = 10,901,472,274.28/119,703.84
  6. Step 6: Final answer
    x = 91,070.36

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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.