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Finding the Fourth Proportional to 164,954.92, 247,311.22 and 52,570.44

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Solution

The fourth proportional to 164,954.92, 247,311.22 and 52,570.44 is: 78,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,954.92 : 247,311.22 = 52,570.44 : x
  2. Step 2: Convert to fraction form
    164,954.92/247,311.22 = 52,570.44/x
  3. Step 3: Cross multiply
    164,954.92x = 247,311.22 × 52,570.44
  4. Step 4: Simplify right side
    164,954.92x = 13,001,259,652.34
  5. Step 5: Solve for x
    x = 13,001,259,652.34/164,954.92
  6. Step 6: Final answer
    x = 78,817.05

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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.