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Finding the Fourth Proportional to 299,908.94, 413,873.40 and 163,942.93

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Solution

The fourth proportional to 299,908.94, 413,873.40 and 163,942.93 is: 226,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,908.94 : 413,873.40 = 163,942.93 : x
  2. Step 2: Convert to fraction form
    299,908.94/413,873.40 = 163,942.93/x
  3. Step 3: Cross multiply
    299,908.94x = 413,873.40 × 163,942.93
  4. Step 4: Simplify right side
    299,908.94x = 67,851,617,845.06
  5. Step 5: Solve for x
    x = 67,851,617,845.06/299,908.94
  6. Step 6: Final answer
    x = 226,240.73

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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.