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Finding the Fourth Proportional to 185,633.94, 256,175.08 and 100,751

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Solution

The fourth proportional to 185,633.94, 256,175.08 and 100,751 is: 139,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,633.94 : 256,175.08 = 100,751 : x
  2. Step 2: Convert to fraction form
    185,633.94/256,175.08 = 100,751/x
  3. Step 3: Cross multiply
    185,633.94x = 256,175.08 × 100,751
  4. Step 4: Simplify right side
    185,633.94x = 25,809,895,485.08
  5. Step 5: Solve for x
    x = 25,809,895,485.08/185,633.94
  6. Step 6: Final answer
    x = 139,036.51

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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.