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Finding the Fourth Proportional to 221,332.68, 305,440.06 and 120,732.84

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Solution

The fourth proportional to 221,332.68, 305,440.06 and 120,732.84 is: 166,611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,332.68 : 305,440.06 = 120,732.84 : x
  2. Step 2: Convert to fraction form
    221,332.68/305,440.06 = 120,732.84/x
  3. Step 3: Cross multiply
    221,332.68x = 305,440.06 × 120,732.84
  4. Step 4: Simplify right side
    221,332.68x = 36,876,645,893.57
  5. Step 5: Solve for x
    x = 36,876,645,893.57/221,332.68
  6. Step 6: Final answer
    x = 166,611.84

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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.