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Finding the Fourth Proportional to 203,882.64, 305,528.24 and 114,946.40

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Solution

The fourth proportional to 203,882.64, 305,528.24 and 114,946.40 is: 172,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882.64 : 305,528.24 = 114,946.40 : x
  2. Step 2: Convert to fraction form
    203,882.64/305,528.24 = 114,946.40/x
  3. Step 3: Cross multiply
    203,882.64x = 305,528.24 × 114,946.40
  4. Step 4: Simplify right side
    203,882.64x = 35,119,371,286.34
  5. Step 5: Solve for x
    x = 35,119,371,286.34/203,882.64
  6. Step 6: Final answer
    x = 172,252.88

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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.