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Finding the Fourth Proportional to 148,116.68, 204,188.38 and 105,601.40

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Solution

The fourth proportional to 148,116.68, 204,188.38 and 105,601.40 is: 145,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,116.68 : 204,188.38 = 105,601.40 : x
  2. Step 2: Convert to fraction form
    148,116.68/204,188.38 = 105,601.40/x
  3. Step 3: Cross multiply
    148,116.68x = 204,188.38 × 105,601.40
  4. Step 4: Simplify right side
    148,116.68x = 21,562,578,791.73
  5. Step 5: Solve for x
    x = 21,562,578,791.73/148,116.68
  6. Step 6: Final answer
    x = 145,578.33

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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.