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Finding the Fourth Proportional to 106,414.34, 146,858.40 and 58,667.61

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Solution

The fourth proportional to 106,414.34, 146,858.40 and 58,667.61 is: 80,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,414.34 : 146,858.40 = 58,667.61 : x
  2. Step 2: Convert to fraction form
    106,414.34/146,858.40 = 58,667.61/x
  3. Step 3: Cross multiply
    106,414.34x = 146,858.40 × 58,667.61
  4. Step 4: Simplify right side
    106,414.34x = 8,615,831,336.42
  5. Step 5: Solve for x
    x = 8,615,831,336.42/106,414.34
  6. Step 6: Final answer
    x = 80,964.95

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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.