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Finding the Fourth Proportional to 146,363.49, 201,978.98 and 82,699.92

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Solution

The fourth proportional to 146,363.49, 201,978.98 and 82,699.92 is: 114,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,363.49 : 201,978.98 = 82,699.92 : x
  2. Step 2: Convert to fraction form
    146,363.49/201,978.98 = 82,699.92/x
  3. Step 3: Cross multiply
    146,363.49x = 201,978.98 × 82,699.92
  4. Step 4: Simplify right side
    146,363.49x = 16,703,645,487.68
  5. Step 5: Solve for x
    x = 16,703,645,487.68/146,363.49
  6. Step 6: Final answer
    x = 114,124.40

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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.