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Finding the Fourth Proportional to 106,512.32, 146,986.08 and 58,766.12

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Solution

The fourth proportional to 106,512.32, 146,986.08 and 58,766.12 is: 81,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512.32 : 146,986.08 = 58,766.12 : x
  2. Step 2: Convert to fraction form
    106,512.32/146,986.08 = 58,766.12/x
  3. Step 3: Cross multiply
    106,512.32x = 146,986.08 × 58,766.12
  4. Step 4: Simplify right side
    106,512.32x = 8,637,801,615.61
  5. Step 5: Solve for x
    x = 8,637,801,615.61/106,512.32
  6. Step 6: Final answer
    x = 81,096.74

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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.