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Finding the Fourth Proportional to 106,411.68, 146,843.60 and 58,012.56

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Solution

The fourth proportional to 106,411.68, 146,843.60 and 58,012.56 is: 80,054.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,411.68 : 146,843.60 = 58,012.56 : x
  2. Step 2: Convert to fraction form
    106,411.68/146,843.60 = 58,012.56/x
  3. Step 3: Cross multiply
    106,411.68x = 146,843.60 × 58,012.56
  4. Step 4: Simplify right side
    106,411.68x = 8,518,773,155.62
  5. Step 5: Solve for x
    x = 8,518,773,155.62/106,411.68
  6. Step 6: Final answer
    x = 80,054.87

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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.