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Finding the Fourth Proportional to 193,708.63, 267,304.94 and 107,662.02

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Solution

The fourth proportional to 193,708.63, 267,304.94 and 107,662.02 is: 148,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,708.63 : 267,304.94 = 107,662.02 : x
  2. Step 2: Convert to fraction form
    193,708.63/267,304.94 = 107,662.02/x
  3. Step 3: Cross multiply
    193,708.63x = 267,304.94 × 107,662.02
  4. Step 4: Simplify right side
    193,708.63x = 28,778,590,236.10
  5. Step 5: Solve for x
    x = 28,778,590,236.10/193,708.63
  6. Step 6: Final answer
    x = 148,566.38

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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.