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Finding the Fourth Proportional to 201,884.30, 302,498.40 and 168,423.20

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Solution

The fourth proportional to 201,884.30, 302,498.40 and 168,423.20 is: 252,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,884.30 : 302,498.40 = 168,423.20 : x
  2. Step 2: Convert to fraction form
    201,884.30/302,498.40 = 168,423.20/x
  3. Step 3: Cross multiply
    201,884.30x = 302,498.40 × 168,423.20
  4. Step 4: Simplify right side
    201,884.30x = 50,947,748,522.88
  5. Step 5: Solve for x
    x = 50,947,748,522.88/201,884.30
  6. Step 6: Final answer
    x = 252,361.12

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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.