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Finding the Fourth Proportional to 150,142.24, 207,193.56 and 83,074.24

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Solution

The fourth proportional to 150,142.24, 207,193.56 and 83,074.24 is: 114,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,142.24 : 207,193.56 = 83,074.24 : x
  2. Step 2: Convert to fraction form
    150,142.24/207,193.56 = 83,074.24/x
  3. Step 3: Cross multiply
    150,142.24x = 207,193.56 × 83,074.24
  4. Step 4: Simplify right side
    150,142.24x = 17,212,447,529.89
  5. Step 5: Solve for x
    x = 17,212,447,529.89/150,142.24
  6. Step 6: Final answer
    x = 114,640.94

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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.