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Finding the Fourth Proportional to 308,682.64, 463,033.64 and 106,276.56

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Solution

The fourth proportional to 308,682.64, 463,033.64 and 106,276.56 is: 159,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,682.64 : 463,033.64 = 106,276.56 : x
  2. Step 2: Convert to fraction form
    308,682.64/463,033.64 = 106,276.56/x
  3. Step 3: Cross multiply
    308,682.64x = 463,033.64 × 106,276.56
  4. Step 4: Simplify right side
    308,682.64x = 49,209,622,423.48
  5. Step 5: Solve for x
    x = 49,209,622,423.48/308,682.64
  6. Step 6: Final answer
    x = 159,418.17

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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.