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Finding the Fourth Proportional to 150,261.92, 207,375.36 and 83,193.92

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Solution

The fourth proportional to 150,261.92, 207,375.36 and 83,193.92 is: 114,815.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,261.92 : 207,375.36 = 83,193.92 : x
  2. Step 2: Convert to fraction form
    150,261.92/207,375.36 = 83,193.92/x
  3. Step 3: Cross multiply
    150,261.92x = 207,375.36 × 83,193.92
  4. Step 4: Simplify right side
    150,261.92x = 17,252,369,109.81
  5. Step 5: Solve for x
    x = 17,252,369,109.81/150,261.92
  6. Step 6: Final answer
    x = 114,815.31

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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.