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Finding the Fourth Proportional to 149,078.54, 223,721.48 and 96,357.26

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Solution

The fourth proportional to 149,078.54, 223,721.48 and 96,357.26 is: 144,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,078.54 : 223,721.48 = 96,357.26 : x
  2. Step 2: Convert to fraction form
    149,078.54/223,721.48 = 96,357.26/x
  3. Step 3: Cross multiply
    149,078.54x = 223,721.48 × 96,357.26
  4. Step 4: Simplify right side
    149,078.54x = 21,557,188,815.94
  5. Step 5: Solve for x
    x = 21,557,188,815.94/149,078.54
  6. Step 6: Final answer
    x = 144,602.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.