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Finding the Fourth Proportional to 299,103.30, 412,767.47 and 163,137.25

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Solution

The fourth proportional to 299,103.30, 412,767.47 and 163,137.25 is: 225,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,103.30 : 412,767.47 = 163,137.25 : x
  2. Step 2: Convert to fraction form
    299,103.30/412,767.47 = 163,137.25/x
  3. Step 3: Cross multiply
    299,103.30x = 412,767.47 × 163,137.25
  4. Step 4: Simplify right side
    299,103.30x = 67,337,748,241.36
  5. Step 5: Solve for x
    x = 67,337,748,241.36/299,103.30
  6. Step 6: Final answer
    x = 225,132.08

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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.