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Finding the Fourth Proportional to 117,667, 162,380.72 and 64,675

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Solution

The fourth proportional to 117,667, 162,380.72 and 64,675 is: 89,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,667 : 162,380.72 = 64,675 : x
  2. Step 2: Convert to fraction form
    117,667/162,380.72 = 64,675/x
  3. Step 3: Cross multiply
    117,667x = 162,380.72 × 64,675
  4. Step 4: Simplify right side
    117,667x = 10,501,973,066
  5. Step 5: Solve for x
    x = 10,501,973,066/117,667
  6. Step 6: Final answer
    x = 89,251.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.