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Finding the Fourth Proportional to 106,409.66, 146,846.31 and 58,664.72

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Solution

The fourth proportional to 106,409.66, 146,846.31 and 58,664.72 is: 80,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,409.66 : 146,846.31 = 58,664.72 : x
  2. Step 2: Convert to fraction form
    106,409.66/146,846.31 = 58,664.72/x
  3. Step 3: Cross multiply
    106,409.66x = 146,846.31 × 58,664.72
  4. Step 4: Simplify right side
    106,409.66x = 8,614,696,924.95
  5. Step 5: Solve for x
    x = 8,614,696,924.95/106,409.66
  6. Step 6: Final answer
    x = 80,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.