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Finding the Fourth Proportional to 144,933, 199,906.36 and 140,056

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Solution

The fourth proportional to 144,933, 199,906.36 and 140,056 is: 193,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,933 : 199,906.36 = 140,056 : x
  2. Step 2: Convert to fraction form
    144,933/199,906.36 = 140,056/x
  3. Step 3: Cross multiply
    144,933x = 199,906.36 × 140,056
  4. Step 4: Simplify right side
    144,933x = 27,998,085,156.16
  5. Step 5: Solve for x
    x = 27,998,085,156.16/144,933
  6. Step 6: Final answer
    x = 193,179.50

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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.