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Finding the Fourth Proportional to 164,578.32, 246,680.79 and 75,648.06

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Solution

The fourth proportional to 164,578.32, 246,680.79 and 75,648.06 is: 113,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578.32 : 246,680.79 = 75,648.06 : x
  2. Step 2: Convert to fraction form
    164,578.32/246,680.79 = 75,648.06/x
  3. Step 3: Cross multiply
    164,578.32x = 246,680.79 × 75,648.06
  4. Step 4: Simplify right side
    164,578.32x = 18,660,923,202.77
  5. Step 5: Solve for x
    x = 18,660,923,202.77/164,578.32
  6. Step 6: Final answer
    x = 113,386.28

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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.