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Finding the Fourth Proportional to 201,841.20, 302,761.80 and 188,719.20

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Solution

The fourth proportional to 201,841.20, 302,761.80 and 188,719.20 is: 283,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.20 : 302,761.80 = 188,719.20 : x
  2. Step 2: Convert to fraction form
    201,841.20/302,761.80 = 188,719.20/x
  3. Step 3: Cross multiply
    201,841.20x = 302,761.80 × 188,719.20
  4. Step 4: Simplify right side
    201,841.20x = 57,136,964,686.56
  5. Step 5: Solve for x
    x = 57,136,964,686.56/201,841.20
  6. Step 6: Final answer
    x = 283,078.80

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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.