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Finding the Fourth Proportional to 146,466.20, 219,723.60 and 57,722.60

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Solution

The fourth proportional to 146,466.20, 219,723.60 and 57,722.60 is: 86,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,466.20 : 219,723.60 = 57,722.60 : x
  2. Step 2: Convert to fraction form
    146,466.20/219,723.60 = 57,722.60/x
  3. Step 3: Cross multiply
    146,466.20x = 219,723.60 × 57,722.60
  4. Step 4: Simplify right side
    146,466.20x = 12,683,017,473.36
  5. Step 5: Solve for x
    x = 12,683,017,473.36/146,466.20
  6. Step 6: Final answer
    x = 86,593.48

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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.