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Finding the Fourth Proportional to 227,705.82, 341,600.34 and 113,913.14

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Solution

The fourth proportional to 227,705.82, 341,600.34 and 113,913.14 is: 170,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,705.82 : 341,600.34 = 113,913.14 : x
  2. Step 2: Convert to fraction form
    227,705.82/341,600.34 = 113,913.14/x
  3. Step 3: Cross multiply
    227,705.82x = 341,600.34 × 113,913.14
  4. Step 4: Simplify right side
    227,705.82x = 38,912,765,646.47
  5. Step 5: Solve for x
    x = 38,912,765,646.47/227,705.82
  6. Step 6: Final answer
    x = 170,890.52

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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.