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Finding the Fourth Proportional to 241,998.30, 362,997.45 and 137,022.30

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Solution

The fourth proportional to 241,998.30, 362,997.45 and 137,022.30 is: 205,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,998.30 : 362,997.45 = 137,022.30 : x
  2. Step 2: Convert to fraction form
    241,998.30/362,997.45 = 137,022.30/x
  3. Step 3: Cross multiply
    241,998.30x = 362,997.45 × 137,022.30
  4. Step 4: Simplify right side
    241,998.30x = 49,738,745,493.14
  5. Step 5: Solve for x
    x = 49,738,745,493.14/241,998.30
  6. Step 6: Final answer
    x = 205,533.45

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1.5x scale

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.