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Finding the Fourth Proportional to 161,476.80, 242,215.20 and 82,744.80

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Solution

The fourth proportional to 161,476.80, 242,215.20 and 82,744.80 is: 124,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,476.80 : 242,215.20 = 82,744.80 : x
  2. Step 2: Convert to fraction form
    161,476.80/242,215.20 = 82,744.80/x
  3. Step 3: Cross multiply
    161,476.80x = 242,215.20 × 82,744.80
  4. Step 4: Simplify right side
    161,476.80x = 20,042,048,280.96
  5. Step 5: Solve for x
    x = 20,042,048,280.96/161,476.80
  6. Step 6: Final answer
    x = 124,117.20

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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.