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Finding the Fourth Proportional to 159,602.25, 239,674.56 and 106,634.61

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Solution

The fourth proportional to 159,602.25, 239,674.56 and 106,634.61 is: 160,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,602.25 : 239,674.56 = 106,634.61 : x
  2. Step 2: Convert to fraction form
    159,602.25/239,674.56 = 106,634.61/x
  3. Step 3: Cross multiply
    159,602.25x = 239,674.56 × 106,634.61
  4. Step 4: Simplify right side
    159,602.25x = 25,557,603,232.52
  5. Step 5: Solve for x
    x = 25,557,603,232.52/159,602.25
  6. Step 6: Final answer
    x = 160,133.10

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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.