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Finding the Fourth Proportional to 365,767.74, 548,596.17 and 99,549

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Solution

The fourth proportional to 365,767.74, 548,596.17 and 99,549 is: 149,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,767.74 : 548,596.17 = 99,549 : x
  2. Step 2: Convert to fraction form
    365,767.74/548,596.17 = 99,549/x
  3. Step 3: Cross multiply
    365,767.74x = 548,596.17 × 99,549
  4. Step 4: Simplify right side
    365,767.74x = 54,612,200,127.33
  5. Step 5: Solve for x
    x = 54,612,200,127.33/365,767.74
  6. Step 6: Final answer
    x = 149,308.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.