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Finding the Fourth Proportional to 299,126.60, 412,796 and 163,163.47

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Solution

The fourth proportional to 299,126.60, 412,796 and 163,163.47 is: 225,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,126.60 : 412,796 = 163,163.47 : x
  2. Step 2: Convert to fraction form
    299,126.60/412,796 = 163,163.47/x
  3. Step 3: Cross multiply
    299,126.60x = 412,796 × 163,163.47
  4. Step 4: Simplify right side
    299,126.60x = 67,353,227,762.12
  5. Step 5: Solve for x
    x = 67,353,227,762.12/299,126.60
  6. Step 6: Final answer
    x = 225,166.29

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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.