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Finding the Fourth Proportional to 119,703.28, 165,188.48 and 65,993.28

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Solution

The fourth proportional to 119,703.28, 165,188.48 and 65,993.28 is: 91,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,703.28 : 165,188.48 = 65,993.28 : x
  2. Step 2: Convert to fraction form
    119,703.28/165,188.48 = 65,993.28/x
  3. Step 3: Cross multiply
    119,703.28x = 165,188.48 × 65,993.28
  4. Step 4: Simplify right side
    119,703.28x = 10,901,329,613.41
  5. Step 5: Solve for x
    x = 10,901,329,613.41/119,703.28
  6. Step 6: Final answer
    x = 91,069.60

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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.