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Finding the Fourth Proportional to 299,384.20, 413,149.94 and 165,247.88

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Solution

The fourth proportional to 299,384.20, 413,149.94 and 165,247.88 is: 228,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,384.20 : 413,149.94 = 165,247.88 : x
  2. Step 2: Convert to fraction form
    299,384.20/413,149.94 = 165,247.88/x
  3. Step 3: Cross multiply
    299,384.20x = 413,149.94 × 165,247.88
  4. Step 4: Simplify right side
    299,384.20x = 68,272,151,707.13
  5. Step 5: Solve for x
    x = 68,272,151,707.13/299,384.20
  6. Step 6: Final answer
    x = 228,041.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.