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Finding the Fourth Proportional to 299,233.13, 412,941.71 and 165,097.13

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Solution

The fourth proportional to 299,233.13, 412,941.71 and 165,097.13 is: 227,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,233.13 : 412,941.71 = 165,097.13 : x
  2. Step 2: Convert to fraction form
    299,233.13/412,941.71 = 165,097.13/x
  3. Step 3: Cross multiply
    299,233.13x = 412,941.71 × 165,097.13
  4. Step 4: Simplify right side
    299,233.13x = 68,175,489,526.33
  5. Step 5: Solve for x
    x = 68,175,489,526.33/299,233.13
  6. Step 6: Final answer
    x = 227,834.03

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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.