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Finding the Fourth Proportional to 149,833.82, 206,753.36 and 86,192.12

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Solution

The fourth proportional to 149,833.82, 206,753.36 and 86,192.12 is: 118,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,833.82 : 206,753.36 = 86,192.12 : x
  2. Step 2: Convert to fraction form
    149,833.82/206,753.36 = 86,192.12/x
  3. Step 3: Cross multiply
    149,833.82x = 206,753.36 × 86,192.12
  4. Step 4: Simplify right side
    149,833.82x = 17,820,510,415.52
  5. Step 5: Solve for x
    x = 17,820,510,415.52/149,833.82
  6. Step 6: Final answer
    x = 118,935.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.