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Finding the Fourth Proportional to 150,537.30, 225,368.55 and 146,163.30

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Solution

The fourth proportional to 150,537.30, 225,368.55 and 146,163.30 is: 218,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,537.30 : 225,368.55 = 146,163.30 : x
  2. Step 2: Convert to fraction form
    150,537.30/225,368.55 = 146,163.30/x
  3. Step 3: Cross multiply
    150,537.30x = 225,368.55 × 146,163.30
  4. Step 4: Simplify right side
    150,537.30x = 32,940,610,984.22
  5. Step 5: Solve for x
    x = 32,940,610,984.22/150,537.30
  6. Step 6: Final answer
    x = 218,820.26

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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.