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Finding the Fourth Proportional to 160,409.43, 240,611.31 and 55,226.07

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Solution

The fourth proportional to 160,409.43, 240,611.31 and 55,226.07 is: 82,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.43 : 240,611.31 = 55,226.07 : x
  2. Step 2: Convert to fraction form
    160,409.43/240,611.31 = 55,226.07/x
  3. Step 3: Cross multiply
    160,409.43x = 240,611.31 × 55,226.07
  4. Step 4: Simplify right side
    160,409.43x = 13,288,017,048.85
  5. Step 5: Solve for x
    x = 13,288,017,048.85/160,409.43
  6. Step 6: Final answer
    x = 82,838.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.