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Finding the Fourth Proportional to 193,782.23, 267,422.58 and 106,570.77

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Solution

The fourth proportional to 193,782.23, 267,422.58 and 106,570.77 is: 147,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,782.23 : 267,422.58 = 106,570.77 : x
  2. Step 2: Convert to fraction form
    193,782.23/267,422.58 = 106,570.77/x
  3. Step 3: Cross multiply
    193,782.23x = 267,422.58 × 106,570.77
  4. Step 4: Simplify right side
    193,782.23x = 28,499,431,268.82
  5. Step 5: Solve for x
    x = 28,499,431,268.82/193,782.23
  6. Step 6: Final answer
    x = 147,069.38

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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.