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Finding the Fourth Proportional to 199,425.96, 299,051.28 and 74,679.48

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Solution

The fourth proportional to 199,425.96, 299,051.28 and 74,679.48 is: 111,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,425.96 : 299,051.28 = 74,679.48 : x
  2. Step 2: Convert to fraction form
    199,425.96/299,051.28 = 74,679.48/x
  3. Step 3: Cross multiply
    199,425.96x = 299,051.28 × 74,679.48
  4. Step 4: Simplify right side
    199,425.96x = 22,332,994,083.73
  5. Step 5: Solve for x
    x = 22,332,994,083.73/199,425.96
  6. Step 6: Final answer
    x = 111,986.39

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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.