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Finding the Fourth Proportional to 186,333.92, 257,136.77 and 108,822.90

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Solution

The fourth proportional to 186,333.92, 257,136.77 and 108,822.90 is: 150,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,333.92 : 257,136.77 = 108,822.90 : x
  2. Step 2: Convert to fraction form
    186,333.92/257,136.77 = 108,822.90/x
  3. Step 3: Cross multiply
    186,333.92x = 257,136.77 × 108,822.90
  4. Step 4: Simplify right side
    186,333.92x = 27,982,369,008.03
  5. Step 5: Solve for x
    x = 27,982,369,008.03/186,333.92
  6. Step 6: Final answer
    x = 150,173.24

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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.