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Finding the Fourth Proportional to 299,127.86, 448,414.77 and 156,943.70

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Solution

The fourth proportional to 299,127.86, 448,414.77 and 156,943.70 is: 235,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,127.86 : 448,414.77 = 156,943.70 : x
  2. Step 2: Convert to fraction form
    299,127.86/448,414.77 = 156,943.70/x
  3. Step 3: Cross multiply
    299,127.86x = 448,414.77 × 156,943.70
  4. Step 4: Simplify right side
    299,127.86x = 70,375,873,138.45
  5. Step 5: Solve for x
    x = 70,375,873,138.45/299,127.86
  6. Step 6: Final answer
    x = 235,270.21

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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.