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Finding the Fourth Proportional to 106,506.53, 146,976.54 and 58,759.86

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Solution

The fourth proportional to 106,506.53, 146,976.54 and 58,759.86 is: 81,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.53 : 146,976.54 = 58,759.86 : x
  2. Step 2: Convert to fraction form
    106,506.53/146,976.54 = 58,759.86/x
  3. Step 3: Cross multiply
    106,506.53x = 146,976.54 × 58,759.86
  4. Step 4: Simplify right side
    106,506.53x = 8,636,320,913.68
  5. Step 5: Solve for x
    x = 8,636,320,913.68/106,506.53
  6. Step 6: Final answer
    x = 81,087.24

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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.