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Finding the Fourth Proportional to 221,385.42, 305,557.32 and 140,797.44

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Solution

The fourth proportional to 221,385.42, 305,557.32 and 140,797.44 is: 194,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,385.42 : 305,557.32 = 140,797.44 : x
  2. Step 2: Convert to fraction form
    221,385.42/305,557.32 = 140,797.44/x
  3. Step 3: Cross multiply
    221,385.42x = 305,557.32 × 140,797.44
  4. Step 4: Simplify right side
    221,385.42x = 43,021,688,429.26
  5. Step 5: Solve for x
    x = 43,021,688,429.26/221,385.42
  6. Step 6: Final answer
    x = 194,329.37

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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.