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Finding the Fourth Proportional to 133,145.82, 199,722.84 and 58,227.40

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Solution

The fourth proportional to 133,145.82, 199,722.84 and 58,227.40 is: 87,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,145.82 : 199,722.84 = 58,227.40 : x
  2. Step 2: Convert to fraction form
    133,145.82/199,722.84 = 58,227.40/x
  3. Step 3: Cross multiply
    133,145.82x = 199,722.84 × 58,227.40
  4. Step 4: Simplify right side
    133,145.82x = 11,629,341,693.82
  5. Step 5: Solve for x
    x = 11,629,341,693.82/133,145.82
  6. Step 6: Final answer
    x = 87,342.90

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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.