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Finding the Fourth Proportional to 164,760.84, 247,052.70 and 52,410.60

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Solution

The fourth proportional to 164,760.84, 247,052.70 and 52,410.60 is: 78,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760.84 : 247,052.70 = 52,410.60 : x
  2. Step 2: Convert to fraction form
    164,760.84/247,052.70 = 52,410.60/x
  3. Step 3: Cross multiply
    164,760.84x = 247,052.70 × 52,410.60
  4. Step 4: Simplify right side
    164,760.84x = 12,948,180,238.62
  5. Step 5: Solve for x
    x = 12,948,180,238.62/164,760.84
  6. Step 6: Final answer
    x = 78,587.73

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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.