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Finding the Fourth Proportional to 164,594.33, 227,158.68 and 92,978.97

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Solution

The fourth proportional to 164,594.33, 227,158.68 and 92,978.97 is: 128,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,594.33 : 227,158.68 = 92,978.97 : x
  2. Step 2: Convert to fraction form
    164,594.33/227,158.68 = 92,978.97/x
  3. Step 3: Cross multiply
    164,594.33x = 227,158.68 × 92,978.97
  4. Step 4: Simplify right side
    164,594.33x = 21,120,980,092.96
  5. Step 5: Solve for x
    x = 21,120,980,092.96/164,594.33
  6. Step 6: Final answer
    x = 128,321.43

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1.5x scale

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.