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Finding the Fourth Proportional to 119,107.92, 164,445.84 and 73,834.05

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Solution

The fourth proportional to 119,107.92, 164,445.84 and 73,834.05 is: 101,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,107.92 : 164,445.84 = 73,834.05 : x
  2. Step 2: Convert to fraction form
    119,107.92/164,445.84 = 73,834.05/x
  3. Step 3: Cross multiply
    119,107.92x = 164,445.84 × 73,834.05
  4. Step 4: Simplify right side
    119,107.92x = 12,141,702,372.85
  5. Step 5: Solve for x
    x = 12,141,702,372.85/119,107.92
  6. Step 6: Final answer
    x = 101,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.