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Finding the Fourth Proportional to 106,414.71, 146,858.93 and 58,667.99

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Solution

The fourth proportional to 106,414.71, 146,858.93 and 58,667.99 is: 80,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,414.71 : 146,858.93 = 58,667.99 : x
  2. Step 2: Convert to fraction form
    106,414.71/146,858.93 = 58,667.99/x
  3. Step 3: Cross multiply
    106,414.71x = 146,858.93 × 58,667.99
  4. Step 4: Simplify right side
    106,414.71x = 8,615,917,209.02
  5. Step 5: Solve for x
    x = 8,615,917,209.02/106,414.71
  6. Step 6: Final answer
    x = 80,965.47

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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.