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Finding the Fourth Proportional to 241,109.36, 361,664.02 and 83,251.70

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Solution

The fourth proportional to 241,109.36, 361,664.02 and 83,251.70 is: 124,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,109.36 : 361,664.02 = 83,251.70 : x
  2. Step 2: Convert to fraction form
    241,109.36/361,664.02 = 83,251.70/x
  3. Step 3: Cross multiply
    241,109.36x = 361,664.02 × 83,251.70
  4. Step 4: Simplify right side
    241,109.36x = 30,109,144,145.82
  5. Step 5: Solve for x
    x = 30,109,144,145.82/241,109.36
  6. Step 6: Final answer
    x = 124,877.54

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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.