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Finding the Fourth Proportional to 299,362.21, 448,721.94 and 149,306.06

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Solution

The fourth proportional to 299,362.21, 448,721.94 and 149,306.06 is: 223,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,362.21 : 448,721.94 = 149,306.06 : x
  2. Step 2: Convert to fraction form
    299,362.21/448,721.94 = 149,306.06/x
  3. Step 3: Cross multiply
    299,362.21x = 448,721.94 × 149,306.06
  4. Step 4: Simplify right side
    299,362.21x = 66,996,904,896.96
  5. Step 5: Solve for x
    x = 66,996,904,896.96/299,362.21
  6. Step 6: Final answer
    x = 223,798.81

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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.