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Finding the Fourth Proportional to 106,388.62, 146,822.86 and 58,641.86

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Solution

The fourth proportional to 106,388.62, 146,822.86 and 58,641.86 is: 80,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.62 : 146,822.86 = 58,641.86 : x
  2. Step 2: Convert to fraction form
    106,388.62/146,822.86 = 58,641.86/x
  3. Step 3: Cross multiply
    106,388.62x = 146,822.86 × 58,641.86
  4. Step 4: Simplify right side
    106,388.62x = 8,609,965,600.92
  5. Step 5: Solve for x
    x = 8,609,965,600.92/106,388.62
  6. Step 6: Final answer
    x = 80,929.39

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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.