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Finding the Fourth Proportional to 150,871.77, 208,203.11 and 82,893.11

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Solution

The fourth proportional to 150,871.77, 208,203.11 and 82,893.11 is: 114,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,871.77 : 208,203.11 = 82,893.11 : x
  2. Step 2: Convert to fraction form
    150,871.77/208,203.11 = 82,893.11/x
  3. Step 3: Cross multiply
    150,871.77x = 208,203.11 × 82,893.11
  4. Step 4: Simplify right side
    150,871.77x = 17,258,601,844.09
  5. Step 5: Solve for x
    x = 17,258,601,844.09/150,871.77
  6. Step 6: Final answer
    x = 114,392.52

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1.5x scale

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.