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Finding the Fourth Proportional to 221,184.36, 305,220.42 and 145,834.92

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Solution

The fourth proportional to 221,184.36, 305,220.42 and 145,834.92 is: 201,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,184.36 : 305,220.42 = 145,834.92 : x
  2. Step 2: Convert to fraction form
    221,184.36/305,220.42 = 145,834.92/x
  3. Step 3: Cross multiply
    221,184.36x = 305,220.42 × 145,834.92
  4. Step 4: Simplify right side
    221,184.36x = 44,511,795,533.07
  5. Step 5: Solve for x
    x = 44,511,795,533.07/221,184.36
  6. Step 6: Final answer
    x = 201,242.96

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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.