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Finding the Fourth Proportional to 146,321.52, 201,924.14 and 82,657.95

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Solution

The fourth proportional to 146,321.52, 201,924.14 and 82,657.95 is: 114,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,321.52 : 201,924.14 = 82,657.95 : x
  2. Step 2: Convert to fraction form
    146,321.52/201,924.14 = 82,657.95/x
  3. Step 3: Cross multiply
    146,321.52x = 201,924.14 × 82,657.95
  4. Step 4: Simplify right side
    146,321.52x = 16,690,635,054.62
  5. Step 5: Solve for x
    x = 16,690,635,054.62/146,321.52
  6. Step 6: Final answer
    x = 114,068.22

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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.