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Finding the Fourth Proportional to 106,193.10, 146,549.07 and 58,441.98

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Solution

The fourth proportional to 106,193.10, 146,549.07 and 58,441.98 is: 80,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193.10 : 146,549.07 = 58,441.98 : x
  2. Step 2: Convert to fraction form
    106,193.10/146,549.07 = 58,441.98/x
  3. Step 3: Cross multiply
    106,193.10x = 146,549.07 × 58,441.98
  4. Step 4: Simplify right side
    106,193.10x = 8,564,617,817.96
  5. Step 5: Solve for x
    x = 8,564,617,817.96/106,193.10
  6. Step 6: Final answer
    x = 80,651.36

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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.