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Finding the Fourth Proportional to 299,966.64, 413,954.19 and 163,998.42

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Solution

The fourth proportional to 299,966.64, 413,954.19 and 163,998.42 is: 226,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,966.64 : 413,954.19 = 163,998.42 : x
  2. Step 2: Convert to fraction form
    299,966.64/413,954.19 = 163,998.42/x
  3. Step 3: Cross multiply
    299,966.64x = 413,954.19 × 163,998.42
  4. Step 4: Simplify right side
    299,966.64x = 67,887,833,112.38
  5. Step 5: Solve for x
    x = 67,887,833,112.38/299,966.64
  6. Step 6: Final answer
    x = 226,317.94

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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.