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Finding the Fourth Proportional to 119,685.60, 165,136.32 and 77,193

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Solution

The fourth proportional to 119,685.60, 165,136.32 and 77,193 is: 106,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,685.60 : 165,136.32 = 77,193 : x
  2. Step 2: Convert to fraction form
    119,685.60/165,136.32 = 77,193/x
  3. Step 3: Cross multiply
    119,685.60x = 165,136.32 × 77,193
  4. Step 4: Simplify right side
    119,685.60x = 12,747,367,949.76
  5. Step 5: Solve for x
    x = 12,747,367,949.76/119,685.60
  6. Step 6: Final answer
    x = 106,507.11

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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.