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Finding the Fourth Proportional to 119,957, 165,555.24 and 69,656

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Solution

The fourth proportional to 119,957, 165,555.24 and 69,656 is: 96,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,957 : 165,555.24 = 69,656 : x
  2. Step 2: Convert to fraction form
    119,957/165,555.24 = 69,656/x
  3. Step 3: Cross multiply
    119,957x = 165,555.24 × 69,656
  4. Step 4: Simplify right side
    119,957x = 11,531,915,797.44
  5. Step 5: Solve for x
    x = 11,531,915,797.44/119,957
  6. Step 6: Final answer
    x = 96,133.75

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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.