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Finding the Fourth Proportional to 106,182.90, 146,529 and 58,439.88

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Solution

The fourth proportional to 106,182.90, 146,529 and 58,439.88 is: 80,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,182.90 : 146,529 = 58,439.88 : x
  2. Step 2: Convert to fraction form
    106,182.90/146,529 = 58,439.88/x
  3. Step 3: Cross multiply
    106,182.90x = 146,529 × 58,439.88
  4. Step 4: Simplify right side
    106,182.90x = 8,563,137,176.52
  5. Step 5: Solve for x
    x = 8,563,137,176.52/106,182.90
  6. Step 6: Final answer
    x = 80,645.16

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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.