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Finding the Fourth Proportional to 199,425.34, 299,092.38 and 57,269.48

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Solution

The fourth proportional to 199,425.34, 299,092.38 and 57,269.48 is: 85,891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,425.34 : 299,092.38 = 57,269.48 : x
  2. Step 2: Convert to fraction form
    199,425.34/299,092.38 = 57,269.48/x
  3. Step 3: Cross multiply
    199,425.34x = 299,092.38 × 57,269.48
  4. Step 4: Simplify right side
    199,425.34x = 17,128,865,368.88
  5. Step 5: Solve for x
    x = 17,128,865,368.88/199,425.34
  6. Step 6: Final answer
    x = 85,891.12

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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.