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Finding the Fourth Proportional to 241,415.82, 362,002.23 and 83,601.90

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Solution

The fourth proportional to 241,415.82, 362,002.23 and 83,601.90 is: 125,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,415.82 : 362,002.23 = 83,601.90 : x
  2. Step 2: Convert to fraction form
    241,415.82/362,002.23 = 83,601.90/x
  3. Step 3: Cross multiply
    241,415.82x = 362,002.23 × 83,601.90
  4. Step 4: Simplify right side
    241,415.82x = 30,264,074,232.24
  5. Step 5: Solve for x
    x = 30,264,074,232.24/241,415.82
  6. Step 6: Final answer
    x = 125,360.77

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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.