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Finding the Fourth Proportional to 382,145.73, 573,217.92 and 101,662.98

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Solution

The fourth proportional to 382,145.73, 573,217.92 and 101,662.98 is: 152,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,145.73 : 573,217.92 = 101,662.98 : x
  2. Step 2: Convert to fraction form
    382,145.73/573,217.92 = 101,662.98/x
  3. Step 3: Cross multiply
    382,145.73x = 573,217.92 × 101,662.98
  4. Step 4: Simplify right side
    382,145.73x = 58,275,041,936.60
  5. Step 5: Solve for x
    x = 58,275,041,936.60/382,145.73
  6. Step 6: Final answer
    x = 152,494.29

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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.