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Finding the Fourth Proportional to 308,677.30, 463,033.87 and 119,138.72

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Solution

The fourth proportional to 308,677.30, 463,033.87 and 119,138.72 is: 178,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,677.30 : 463,033.87 = 119,138.72 : x
  2. Step 2: Convert to fraction form
    308,677.30/463,033.87 = 119,138.72/x
  3. Step 3: Cross multiply
    308,677.30x = 463,033.87 × 119,138.72
  4. Step 4: Simplify right side
    308,677.30x = 55,165,259,975.43
  5. Step 5: Solve for x
    x = 55,165,259,975.43/308,677.30
  6. Step 6: Final answer
    x = 178,714.99

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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.