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Finding the Fourth Proportional to 221,474.90, 305,529.09 and 144,960.32

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Solution

The fourth proportional to 221,474.90, 305,529.09 and 144,960.32 is: 199,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,474.90 : 305,529.09 = 144,960.32 : x
  2. Step 2: Convert to fraction form
    221,474.90/305,529.09 = 144,960.32/x
  3. Step 3: Cross multiply
    221,474.90x = 305,529.09 × 144,960.32
  4. Step 4: Simplify right side
    221,474.90x = 44,289,594,655.71
  5. Step 5: Solve for x
    x = 44,289,594,655.71/221,474.90
  6. Step 6: Final answer
    x = 199,975.68

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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.