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Finding the Fourth Proportional to 331,477.20, 497,215.80 and 82,159.20

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Solution

The fourth proportional to 331,477.20, 497,215.80 and 82,159.20 is: 123,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,477.20 : 497,215.80 = 82,159.20 : x
  2. Step 2: Convert to fraction form
    331,477.20/497,215.80 = 82,159.20/x
  3. Step 3: Cross multiply
    331,477.20x = 497,215.80 × 82,159.20
  4. Step 4: Simplify right side
    331,477.20x = 40,850,852,355.36
  5. Step 5: Solve for x
    x = 40,850,852,355.36/331,477.20
  6. Step 6: Final answer
    x = 123,238.80

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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.