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Finding the Fourth Proportional to 262,897.25, 394,188.10 and 120,564.23

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Solution

The fourth proportional to 262,897.25, 394,188.10 and 120,564.23 is: 180,773.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,897.25 : 394,188.10 = 120,564.23 : x
  2. Step 2: Convert to fraction form
    262,897.25/394,188.10 = 120,564.23/x
  3. Step 3: Cross multiply
    262,897.25x = 394,188.10 × 120,564.23
  4. Step 4: Simplify right side
    262,897.25x = 47,524,982,479.31
  5. Step 5: Solve for x
    x = 47,524,982,479.31/262,897.25
  6. Step 6: Final answer
    x = 180,773.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.