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Finding the Fourth Proportional to 331,355, 497,032.51 and 82,037

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Solution

The fourth proportional to 331,355, 497,032.51 and 82,037 is: 123,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,355 : 497,032.51 = 82,037 : x
  2. Step 2: Convert to fraction form
    331,355/497,032.51 = 82,037/x
  3. Step 3: Cross multiply
    331,355x = 497,032.51 × 82,037
  4. Step 4: Simplify right side
    331,355x = 40,775,056,022.87
  5. Step 5: Solve for x
    x = 40,775,056,022.87/331,355
  6. Step 6: Final answer
    x = 123,055.50

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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.