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Finding the Fourth Proportional to 146,243.50, 219,365.28 and 52,749.24

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Solution

The fourth proportional to 146,243.50, 219,365.28 and 52,749.24 is: 79,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,243.50 : 219,365.28 = 52,749.24 : x
  2. Step 2: Convert to fraction form
    146,243.50/219,365.28 = 52,749.24/x
  3. Step 3: Cross multiply
    146,243.50x = 219,365.28 × 52,749.24
  4. Step 4: Simplify right side
    146,243.50x = 11,571,351,802.39
  5. Step 5: Solve for x
    x = 11,571,351,802.39/146,243.50
  6. Step 6: Final answer
    x = 79,123.87

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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.