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Finding the Fourth Proportional to 202,090.90, 302,808.30 and 127,076.80

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Solution

The fourth proportional to 202,090.90, 302,808.30 and 127,076.80 is: 190,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,090.90 : 302,808.30 = 127,076.80 : x
  2. Step 2: Convert to fraction form
    202,090.90/302,808.30 = 127,076.80/x
  3. Step 3: Cross multiply
    202,090.90x = 302,808.30 × 127,076.80
  4. Step 4: Simplify right side
    202,090.90x = 38,479,909,777.44
  5. Step 5: Solve for x
    x = 38,479,909,777.44/202,090.90
  6. Step 6: Final answer
    x = 190,408.92

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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.