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Finding the Fourth Proportional to 119,103.92, 164,474.04 and 76,735.92

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Solution

The fourth proportional to 119,103.92, 164,474.04 and 76,735.92 is: 105,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,103.92 : 164,474.04 = 76,735.92 : x
  2. Step 2: Convert to fraction form
    119,103.92/164,474.04 = 76,735.92/x
  3. Step 3: Cross multiply
    119,103.92x = 164,474.04 × 76,735.92
  4. Step 4: Simplify right side
    119,103.92x = 12,621,066,775.52
  5. Step 5: Solve for x
    x = 12,621,066,775.52/119,103.92
  6. Step 6: Final answer
    x = 105,966.85

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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.