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Finding the Fourth Proportional to 240,705.10, 360,960.45 and 82,852.30

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Solution

The fourth proportional to 240,705.10, 360,960.45 and 82,852.30 is: 124,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,705.10 : 360,960.45 = 82,852.30 : x
  2. Step 2: Convert to fraction form
    240,705.10/360,960.45 = 82,852.30/x
  3. Step 3: Cross multiply
    240,705.10x = 360,960.45 × 82,852.30
  4. Step 4: Simplify right side
    240,705.10x = 29,906,403,491.54
  5. Step 5: Solve for x
    x = 29,906,403,491.54/240,705.10
  6. Step 6: Final answer
    x = 124,244.99

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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.