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Finding the Fourth Proportional to 299,909.94, 413,874.78 and 163,943.93

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Solution

The fourth proportional to 299,909.94, 413,874.78 and 163,943.93 is: 226,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,909.94 : 413,874.78 = 163,943.93 : x
  2. Step 2: Convert to fraction form
    299,909.94/413,874.78 = 163,943.93/x
  3. Step 3: Cross multiply
    299,909.94x = 413,874.78 × 163,943.93
  4. Step 4: Simplify right side
    299,909.94x = 67,852,257,961.09
  5. Step 5: Solve for x
    x = 67,852,257,961.09/299,909.94
  6. Step 6: Final answer
    x = 226,242.11

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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.