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Finding the Fourth Proportional to 214,402.20, 321,537.42 and 148,267.32

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Solution

The fourth proportional to 214,402.20, 321,537.42 and 148,267.32 is: 222,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,402.20 : 321,537.42 = 148,267.32 : x
  2. Step 2: Convert to fraction form
    214,402.20/321,537.42 = 148,267.32/x
  3. Step 3: Cross multiply
    214,402.20x = 321,537.42 × 148,267.32
  4. Step 4: Simplify right side
    214,402.20x = 47,673,491,543.11
  5. Step 5: Solve for x
    x = 47,673,491,543.11/214,402.20
  6. Step 6: Final answer
    x = 222,355.42

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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.