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Finding the Fourth Proportional to 214,351.67, 321,461.82 and 148,216.79

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Solution

The fourth proportional to 214,351.67, 321,461.82 and 148,216.79 is: 222,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,351.67 : 321,461.82 = 148,216.79 : x
  2. Step 2: Convert to fraction form
    214,351.67/321,461.82 = 148,216.79/x
  3. Step 3: Cross multiply
    214,351.67x = 321,461.82 × 148,216.79
  4. Step 4: Simplify right side
    214,351.67x = 47,646,039,871.61
  5. Step 5: Solve for x
    x = 47,646,039,871.61/214,351.67
  6. Step 6: Final answer
    x = 222,279.77

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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.