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Finding the Fourth Proportional to 216,092.80, 298,212.83 and 119,296.36

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Solution

The fourth proportional to 216,092.80, 298,212.83 and 119,296.36 is: 164,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,092.80 : 298,212.83 = 119,296.36 : x
  2. Step 2: Convert to fraction form
    216,092.80/298,212.83 = 119,296.36/x
  3. Step 3: Cross multiply
    216,092.80x = 298,212.83 × 119,296.36
  4. Step 4: Simplify right side
    216,092.80x = 35,575,705,124.30
  5. Step 5: Solve for x
    x = 35,575,705,124.30/216,092.80
  6. Step 6: Final answer
    x = 164,631.61

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1.5x scale

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.