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Finding the Fourth Proportional to 299,141.82, 412,799.49 and 171,817.45

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Solution

The fourth proportional to 299,141.82, 412,799.49 and 171,817.45 is: 237,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,141.82 : 412,799.49 = 171,817.45 : x
  2. Step 2: Convert to fraction form
    299,141.82/412,799.49 = 171,817.45/x
  3. Step 3: Cross multiply
    299,141.82x = 412,799.49 × 171,817.45
  4. Step 4: Simplify right side
    299,141.82x = 70,926,154,701.10
  5. Step 5: Solve for x
    x = 70,926,154,701.10/299,141.82
  6. Step 6: Final answer
    x = 237,098.76

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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.