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Finding the Fourth Proportional to 299,542.52, 449,312.94 and 122,007.80

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Solution

The fourth proportional to 299,542.52, 449,312.94 and 122,007.80 is: 183,011.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,542.52 : 449,312.94 = 122,007.80 : x
  2. Step 2: Convert to fraction form
    299,542.52/449,312.94 = 122,007.80/x
  3. Step 3: Cross multiply
    299,542.52x = 449,312.94 × 122,007.80
  4. Step 4: Simplify right side
    299,542.52x = 54,819,683,320.93
  5. Step 5: Solve for x
    x = 54,819,683,320.93/299,542.52
  6. Step 6: Final answer
    x = 183,011.36

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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.