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Finding the Fourth Proportional to 214,339.80, 321,444.03 and 148,204.92

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Solution

The fourth proportional to 214,339.80, 321,444.03 and 148,204.92 is: 222,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,339.80 : 321,444.03 = 148,204.92 : x
  2. Step 2: Convert to fraction form
    214,339.80/321,444.03 = 148,204.92/x
  3. Step 3: Cross multiply
    214,339.80x = 321,444.03 × 148,204.92
  4. Step 4: Simplify right side
    214,339.80x = 47,639,586,750.63
  5. Step 5: Solve for x
    x = 47,639,586,750.63/214,339.80
  6. Step 6: Final answer
    x = 222,261.97

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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.