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Finding the Fourth Proportional to 291,342.77, 402,060.54 and 164,022.92

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Solution

The fourth proportional to 291,342.77, 402,060.54 and 164,022.92 is: 226,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,342.77 : 402,060.54 = 164,022.92 : x
  2. Step 2: Convert to fraction form
    291,342.77/402,060.54 = 164,022.92/x
  3. Step 3: Cross multiply
    291,342.77x = 402,060.54 × 164,022.92
  4. Step 4: Simplify right side
    291,342.77x = 65,947,141,777.27
  5. Step 5: Solve for x
    x = 65,947,141,777.27/291,342.77
  6. Step 6: Final answer
    x = 226,355.86

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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.