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Finding the Fourth Proportional to 299,837.45, 413,774.69 and 163,871.36

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Solution

The fourth proportional to 299,837.45, 413,774.69 and 163,871.36 is: 226,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,837.45 : 413,774.69 = 163,871.36 : x
  2. Step 2: Convert to fraction form
    299,837.45/413,774.69 = 163,871.36/x
  3. Step 3: Cross multiply
    299,837.45x = 413,774.69 × 163,871.36
  4. Step 4: Simplify right side
    299,837.45x = 67,805,821,031.22
  5. Step 5: Solve for x
    x = 67,805,821,031.22/299,837.45
  6. Step 6: Final answer
    x = 226,141.94

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