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Finding the Fourth Proportional to 331,354.50, 497,031.75 and 82,036.50

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Solution

The fourth proportional to 331,354.50, 497,031.75 and 82,036.50 is: 123,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,354.50 : 497,031.75 = 82,036.50 : x
  2. Step 2: Convert to fraction form
    331,354.50/497,031.75 = 82,036.50/x
  3. Step 3: Cross multiply
    331,354.50x = 497,031.75 × 82,036.50
  4. Step 4: Simplify right side
    331,354.50x = 40,774,745,158.88
  5. Step 5: Solve for x
    x = 40,774,745,158.88/331,354.50
  6. Step 6: Final answer
    x = 123,054.75

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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.