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Finding the Fourth Proportional to 291,403.38, 402,144.03 and 164,083.26

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Solution

The fourth proportional to 291,403.38, 402,144.03 and 164,083.26 is: 226,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,403.38 : 402,144.03 = 164,083.26 : x
  2. Step 2: Convert to fraction form
    291,403.38/402,144.03 = 164,083.26/x
  3. Step 3: Cross multiply
    291,403.38x = 402,144.03 × 164,083.26
  4. Step 4: Simplify right side
    291,403.38x = 65,985,103,431.94
  5. Step 5: Solve for x
    x = 65,985,103,431.94/291,403.38
  6. Step 6: Final answer
    x = 226,439.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.