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Finding the Fourth Proportional to 201,293.30, 302,523.15 and 197,794.10

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Solution

The fourth proportional to 201,293.30, 302,523.15 and 197,794.10 is: 297,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,293.30 : 302,523.15 = 197,794.10 : x
  2. Step 2: Convert to fraction form
    201,293.30/302,523.15 = 197,794.10/x
  3. Step 3: Cross multiply
    201,293.30x = 302,523.15 × 197,794.10
  4. Step 4: Simplify right side
    201,293.30x = 59,837,294,183.42
  5. Step 5: Solve for x
    x = 59,837,294,183.42/201,293.30
  6. Step 6: Final answer
    x = 297,264.21

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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.