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Finding the Fourth Proportional to 146,363.25, 201,978.64 and 82,699.68

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Solution

The fourth proportional to 146,363.25, 201,978.64 and 82,699.68 is: 114,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,363.25 : 201,978.64 = 82,699.68 : x
  2. Step 2: Convert to fraction form
    146,363.25/201,978.64 = 82,699.68/x
  3. Step 3: Cross multiply
    146,363.25x = 201,978.64 × 82,699.68
  4. Step 4: Simplify right side
    146,363.25x = 16,703,568,894.84
  5. Step 5: Solve for x
    x = 16,703,568,894.84/146,363.25
  6. Step 6: Final answer
    x = 114,124.06

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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.