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Finding the Fourth Proportional to 164,942.80, 247,122.60 and 146,280.40

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Solution

The fourth proportional to 164,942.80, 247,122.60 and 146,280.40 is: 219,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,942.80 : 247,122.60 = 146,280.40 : x
  2. Step 2: Convert to fraction form
    164,942.80/247,122.60 = 146,280.40/x
  3. Step 3: Cross multiply
    164,942.80x = 247,122.60 × 146,280.40
  4. Step 4: Simplify right side
    164,942.80x = 36,149,192,777.04
  5. Step 5: Solve for x
    x = 36,149,192,777.04/164,942.80
  6. Step 6: Final answer
    x = 219,161.99

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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.