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Finding the Fourth Proportional to 202,108.80, 302,644.80 and 192,777.60

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Solution

The fourth proportional to 202,108.80, 302,644.80 and 192,777.60 is: 288,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108.80 : 302,644.80 = 192,777.60 : x
  2. Step 2: Convert to fraction form
    202,108.80/302,644.80 = 192,777.60/x
  3. Step 3: Cross multiply
    202,108.80x = 302,644.80 × 192,777.60
  4. Step 4: Simplify right side
    202,108.80x = 58,343,138,196.48
  5. Step 5: Solve for x
    x = 58,343,138,196.48/202,108.80
  6. Step 6: Final answer
    x = 288,671.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.