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Finding the Fourth Proportional to 241,400.20, 362,186.70 and 101,201.80

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Solution

The fourth proportional to 241,400.20, 362,186.70 and 101,201.80 is: 151,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,400.20 : 362,186.70 = 101,201.80 : x
  2. Step 2: Convert to fraction form
    241,400.20/362,186.70 = 101,201.80/x
  3. Step 3: Cross multiply
    241,400.20x = 362,186.70 × 101,201.80
  4. Step 4: Simplify right side
    241,400.20x = 36,653,945,976.06
  5. Step 5: Solve for x
    x = 36,653,945,976.06/241,400.20
  6. Step 6: Final answer
    x = 151,838.92

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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.