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Finding the Fourth Proportional to 194,957.88, 269,026.86 and 110,083.32

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Solution

The fourth proportional to 194,957.88, 269,026.86 and 110,083.32 is: 151,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,957.88 : 269,026.86 = 110,083.32 : x
  2. Step 2: Convert to fraction form
    194,957.88/269,026.86 = 110,083.32/x
  3. Step 3: Cross multiply
    194,957.88x = 269,026.86 × 110,083.32
  4. Step 4: Simplify right side
    194,957.88x = 29,615,369,917.98
  5. Step 5: Solve for x
    x = 29,615,369,917.98/194,957.88
  6. Step 6: Final answer
    x = 151,906.50

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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.