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Finding the Fourth Proportional to 299,302.50, 413,037.99 and 165,166.50

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Solution

The fourth proportional to 299,302.50, 413,037.99 and 165,166.50 is: 227,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.50 : 413,037.99 = 165,166.50 : x
  2. Step 2: Convert to fraction form
    299,302.50/413,037.99 = 165,166.50/x
  3. Step 3: Cross multiply
    299,302.50x = 413,037.99 × 165,166.50
  4. Step 4: Simplify right side
    299,302.50x = 68,220,039,175.34
  5. Step 5: Solve for x
    x = 68,220,039,175.34/299,302.50
  6. Step 6: Final answer
    x = 227,930.07

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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.