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Finding the Fourth Proportional to 114,968.12, 158,654.38 and 64,667

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Solution

The fourth proportional to 114,968.12, 158,654.38 and 64,667 is: 89,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,968.12 : 158,654.38 = 64,667 : x
  2. Step 2: Convert to fraction form
    114,968.12/158,654.38 = 64,667/x
  3. Step 3: Cross multiply
    114,968.12x = 158,654.38 × 64,667
  4. Step 4: Simplify right side
    114,968.12x = 10,259,702,791.46
  5. Step 5: Solve for x
    x = 10,259,702,791.46/114,968.12
  6. Step 6: Final answer
    x = 89,239.55

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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.