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Finding the Fourth Proportional to 203,294.87, 304,957.28 and 53,534.12

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Solution

The fourth proportional to 203,294.87, 304,957.28 and 53,534.12 is: 80,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,294.87 : 304,957.28 = 53,534.12 : x
  2. Step 2: Convert to fraction form
    203,294.87/304,957.28 = 53,534.12/x
  3. Step 3: Cross multiply
    203,294.87x = 304,957.28 × 53,534.12
  4. Step 4: Simplify right side
    203,294.87x = 16,325,618,097.61
  5. Step 5: Solve for x
    x = 16,325,618,097.61/203,294.87
  6. Step 6: Final answer
    x = 80,305.12

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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.