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Finding the Fourth Proportional to 111,980.68, 167,916.34 and 48,854.14

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Solution

The fourth proportional to 111,980.68, 167,916.34 and 48,854.14 is: 73,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,980.68 : 167,916.34 = 48,854.14 : x
  2. Step 2: Convert to fraction form
    111,980.68/167,916.34 = 48,854.14/x
  3. Step 3: Cross multiply
    111,980.68x = 167,916.34 × 48,854.14
  4. Step 4: Simplify right side
    111,980.68x = 8,203,408,023.92
  5. Step 5: Solve for x
    x = 8,203,408,023.92/111,980.68
  6. Step 6: Final answer
    x = 73,257.35

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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.