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Finding the Fourth Proportional to 299,057.50, 412,693.68 and 163,092.52

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Solution

The fourth proportional to 299,057.50, 412,693.68 and 163,092.52 is: 225,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,057.50 : 412,693.68 = 163,092.52 : x
  2. Step 2: Convert to fraction form
    299,057.50/412,693.68 = 163,092.52/x
  3. Step 3: Cross multiply
    299,057.50x = 412,693.68 × 163,092.52
  4. Step 4: Simplify right side
    299,057.50x = 67,307,252,259.27
  5. Step 5: Solve for x
    x = 67,307,252,259.27/299,057.50
  6. Step 6: Final answer
    x = 225,064.59

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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.