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Finding the Fourth Proportional to 150,566.64, 225,871.42 and 49,343.02

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Solution

The fourth proportional to 150,566.64, 225,871.42 and 49,343.02 is: 74,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,566.64 : 225,871.42 = 49,343.02 : x
  2. Step 2: Convert to fraction form
    150,566.64/225,871.42 = 49,343.02/x
  3. Step 3: Cross multiply
    150,566.64x = 225,871.42 × 49,343.02
  4. Step 4: Simplify right side
    150,566.64x = 11,145,177,994.49
  5. Step 5: Solve for x
    x = 11,145,177,994.49/150,566.64
  6. Step 6: Final answer
    x = 74,021.56

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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.