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Finding the Fourth Proportional to 150,076.82, 225,145.36 and 55,307.50

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Solution

The fourth proportional to 150,076.82, 225,145.36 and 55,307.50 is: 82,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,076.82 : 225,145.36 = 55,307.50 : x
  2. Step 2: Convert to fraction form
    150,076.82/225,145.36 = 55,307.50/x
  3. Step 3: Cross multiply
    150,076.82x = 225,145.36 × 55,307.50
  4. Step 4: Simplify right side
    150,076.82x = 12,452,227,022.43
  5. Step 5: Solve for x
    x = 12,452,227,022.43/150,076.82
  6. Step 6: Final answer
    x = 82,972.35

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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.