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Finding the Fourth Proportional to 216,092.66, 298,228.59 and 120,608.24

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Solution

The fourth proportional to 216,092.66, 298,228.59 and 120,608.24 is: 166,450.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,092.66 : 298,228.59 = 120,608.24 : x
  2. Step 2: Convert to fraction form
    216,092.66/298,228.59 = 120,608.24/x
  3. Step 3: Cross multiply
    216,092.66x = 298,228.59 × 120,608.24
  4. Step 4: Simplify right side
    216,092.66x = 35,968,823,866.44
  5. Step 5: Solve for x
    x = 35,968,823,866.44/216,092.66
  6. Step 6: Final answer
    x = 166,450.93

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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.