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Finding the Fourth Proportional to 221,345.72, 305,456.44 and 120,743

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Solution

The fourth proportional to 221,345.72, 305,456.44 and 120,743 is: 166,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,345.72 : 305,456.44 = 120,743 : x
  2. Step 2: Convert to fraction form
    221,345.72/305,456.44 = 120,743/x
  3. Step 3: Cross multiply
    221,345.72x = 305,456.44 × 120,743
  4. Step 4: Simplify right side
    221,345.72x = 36,881,726,934.92
  5. Step 5: Solve for x
    x = 36,881,726,934.92/221,345.72
  6. Step 6: Final answer
    x = 166,624.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.