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Finding the Fourth Proportional to 291,321.82, 402,062.43 and 164,022.22

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Solution

The fourth proportional to 291,321.82, 402,062.43 and 164,022.22 is: 226,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,321.82 : 402,062.43 = 164,022.22 : x
  2. Step 2: Convert to fraction form
    291,321.82/402,062.43 = 164,022.22/x
  3. Step 3: Cross multiply
    291,321.82x = 402,062.43 × 164,022.22
  4. Step 4: Simplify right side
    291,321.82x = 65,947,172,347.19
  5. Step 5: Solve for x
    x = 65,947,172,347.19/291,321.82
  6. Step 6: Final answer
    x = 226,372.24

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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.