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Finding the Fourth Proportional to 221,039.82, 305,084.14 and 140,451.60

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Solution

The fourth proportional to 221,039.82, 305,084.14 and 140,451.60 is: 193,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,039.82 : 305,084.14 = 140,451.60 : x
  2. Step 2: Convert to fraction form
    221,039.82/305,084.14 = 140,451.60/x
  3. Step 3: Cross multiply
    221,039.82x = 305,084.14 × 140,451.60
  4. Step 4: Simplify right side
    221,039.82x = 42,849,555,597.62
  5. Step 5: Solve for x
    x = 42,849,555,597.62/221,039.82
  6. Step 6: Final answer
    x = 193,854.46

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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.