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Finding the Fourth Proportional to 305,855.82, 458,788.34 and 106,182.55

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Solution

The fourth proportional to 305,855.82, 458,788.34 and 106,182.55 is: 159,275.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,855.82 : 458,788.34 = 106,182.55 : x
  2. Step 2: Convert to fraction form
    305,855.82/458,788.34 = 106,182.55/x
  3. Step 3: Cross multiply
    305,855.82x = 458,788.34 × 106,182.55
  4. Step 4: Simplify right side
    305,855.82x = 48,715,316,116.92
  5. Step 5: Solve for x
    x = 48,715,316,116.92/305,855.82
  6. Step 6: Final answer
    x = 159,275.43

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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.