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Finding the Fourth Proportional to 150,963.16, 208,332.66 and 82,983.64

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Solution

The fourth proportional to 150,963.16, 208,332.66 and 82,983.64 is: 114,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,963.16 : 208,332.66 = 82,983.64 : x
  2. Step 2: Convert to fraction form
    150,963.16/208,332.66 = 82,983.64/x
  3. Step 3: Cross multiply
    150,963.16x = 208,332.66 × 82,983.64
  4. Step 4: Simplify right side
    150,963.16x = 17,288,202,457.68
  5. Step 5: Solve for x
    x = 17,288,202,457.68/150,963.16
  6. Step 6: Final answer
    x = 114,519.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.