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Finding the Fourth Proportional to 331,354.75, 497,032.14 and 82,036.75

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Solution

The fourth proportional to 331,354.75, 497,032.14 and 82,036.75 is: 123,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,354.75 : 497,032.14 = 82,036.75 : x
  2. Step 2: Convert to fraction form
    331,354.75/497,032.14 = 82,036.75/x
  3. Step 3: Cross multiply
    331,354.75x = 497,032.14 × 82,036.75
  4. Step 4: Simplify right side
    331,354.75x = 40,774,901,411.15
  5. Step 5: Solve for x
    x = 40,774,901,411.15/331,354.75
  6. Step 6: Final answer
    x = 123,055.13

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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.