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Finding the Fourth Proportional to 299,793.93, 413,716.74 and 163,827.93

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Solution

The fourth proportional to 299,793.93, 413,716.74 and 163,827.93 is: 226,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,793.93 : 413,716.74 = 163,827.93 : x
  2. Step 2: Convert to fraction form
    299,793.93/413,716.74 = 163,827.93/x
  3. Step 3: Cross multiply
    299,793.93x = 413,716.74 × 163,827.93
  4. Step 4: Simplify right side
    299,793.93x = 67,778,357,120.55
  5. Step 5: Solve for x
    x = 67,778,357,120.55/299,793.93
  6. Step 6: Final answer
    x = 226,083.15

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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.