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Finding the Fourth Proportional to 119,735.76, 179,626.68 and 45,858

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Solution

The fourth proportional to 119,735.76, 179,626.68 and 45,858 is: 68,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,735.76 : 179,626.68 = 45,858 : x
  2. Step 2: Convert to fraction form
    119,735.76/179,626.68 = 45,858/x
  3. Step 3: Cross multiply
    119,735.76x = 179,626.68 × 45,858
  4. Step 4: Simplify right side
    119,735.76x = 8,237,320,291.44
  5. Step 5: Solve for x
    x = 8,237,320,291.44/119,735.76
  6. Step 6: Final answer
    x = 68,795.82

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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.