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Finding the Fourth Proportional to 150,871.88, 208,203.28 and 82,893.24

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Solution

The fourth proportional to 150,871.88, 208,203.28 and 82,893.24 is: 114,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,871.88 : 208,203.28 = 82,893.24 : x
  2. Step 2: Convert to fraction form
    150,871.88/208,203.28 = 82,893.24/x
  3. Step 3: Cross multiply
    150,871.88x = 208,203.28 × 82,893.24
  4. Step 4: Simplify right side
    150,871.88x = 17,258,644,457.83
  5. Step 5: Solve for x
    x = 17,258,644,457.83/150,871.88
  6. Step 6: Final answer
    x = 114,392.72

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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.