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Finding the Fourth Proportional to 274,871.70, 412,048.92 and 148,322.28

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Solution

The fourth proportional to 274,871.70, 412,048.92 and 148,322.28 is: 222,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,871.70 : 412,048.92 = 148,322.28 : x
  2. Step 2: Convert to fraction form
    274,871.70/412,048.92 = 148,322.28/x
  3. Step 3: Cross multiply
    274,871.70x = 412,048.92 × 148,322.28
  4. Step 4: Simplify right side
    274,871.70x = 61,116,035,285.94
  5. Step 5: Solve for x
    x = 61,116,035,285.94/274,871.70
  6. Step 6: Final answer
    x = 222,343.86

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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.