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Finding the Fourth Proportional to 291,213.78, 401,883.03 and 163,893.93

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Solution

The fourth proportional to 291,213.78, 401,883.03 and 163,893.93 is: 226,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213.78 : 401,883.03 = 163,893.93 : x
  2. Step 2: Convert to fraction form
    291,213.78/401,883.03 = 163,893.93/x
  3. Step 3: Cross multiply
    291,213.78x = 401,883.03 × 163,893.93
  4. Step 4: Simplify right side
    291,213.78x = 65,866,189,187.01
  5. Step 5: Solve for x
    x = 65,866,189,187.01/291,213.78
  6. Step 6: Final answer
    x = 226,178.13

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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.