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Finding the Fourth Proportional to 299,242.46, 412,925.91 and 165,097.82

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Solution

The fourth proportional to 299,242.46, 412,925.91 and 165,097.82 is: 227,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,242.46 : 412,925.91 = 165,097.82 : x
  2. Step 2: Convert to fraction form
    299,242.46/412,925.91 = 165,097.82/x
  3. Step 3: Cross multiply
    299,242.46x = 412,925.91 × 165,097.82
  4. Step 4: Simplify right side
    299,242.46x = 68,173,167,562.52
  5. Step 5: Solve for x
    x = 68,173,167,562.52/299,242.46
  6. Step 6: Final answer
    x = 227,819.17

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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.