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Finding the Fourth Proportional to 291,207.78, 401,874.75 and 163,887.93

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Solution

The fourth proportional to 291,207.78, 401,874.75 and 163,887.93 is: 226,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,207.78 : 401,874.75 = 163,887.93 : x
  2. Step 2: Convert to fraction form
    291,207.78/401,874.75 = 163,887.93/x
  3. Step 3: Cross multiply
    291,207.78x = 401,874.75 × 163,887.93
  4. Step 4: Simplify right side
    291,207.78x = 65,862,420,896.77
  5. Step 5: Solve for x
    x = 65,862,420,896.77/291,207.78
  6. Step 6: Final answer
    x = 226,169.85

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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.