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Finding the Fourth Proportional to 201,799.20, 302,699.19 and 189,468.11

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Solution

The fourth proportional to 201,799.20, 302,699.19 and 189,468.11 is: 284,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,799.20 : 302,699.19 = 189,468.11 : x
  2. Step 2: Convert to fraction form
    201,799.20/302,699.19 = 189,468.11/x
  3. Step 3: Cross multiply
    201,799.20x = 302,699.19 × 189,468.11
  4. Step 4: Simplify right side
    201,799.20x = 57,351,844,184.58
  5. Step 5: Solve for x
    x = 57,351,844,184.58/201,799.20
  6. Step 6: Final answer
    x = 284,202.53

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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.