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Finding the Fourth Proportional to 164,797.64, 247,220.15 and 50,954.33

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Solution

The fourth proportional to 164,797.64, 247,220.15 and 50,954.33 is: 76,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,797.64 : 247,220.15 = 50,954.33 : x
  2. Step 2: Convert to fraction form
    164,797.64/247,220.15 = 50,954.33/x
  3. Step 3: Cross multiply
    164,797.64x = 247,220.15 × 50,954.33
  4. Step 4: Simplify right side
    164,797.64x = 12,596,937,105.75
  5. Step 5: Solve for x
    x = 12,596,937,105.75/164,797.64
  6. Step 6: Final answer
    x = 76,438.82

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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.