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Finding the Fourth Proportional to 252,068.80, 378,103.20 and 204,829.60

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Solution

The fourth proportional to 252,068.80, 378,103.20 and 204,829.60 is: 307,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,068.80 : 378,103.20 = 204,829.60 : x
  2. Step 2: Convert to fraction form
    252,068.80/378,103.20 = 204,829.60/x
  3. Step 3: Cross multiply
    252,068.80x = 378,103.20 × 204,829.60
  4. Step 4: Simplify right side
    252,068.80x = 77,446,727,214.72
  5. Step 5: Solve for x
    x = 77,446,727,214.72/252,068.80
  6. Step 6: Final answer
    x = 307,244.40

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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.