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Finding the Fourth Proportional to 188,257.56, 259,822.64 and 112,813.08

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Solution

The fourth proportional to 188,257.56, 259,822.64 and 112,813.08 is: 155,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,257.56 : 259,822.64 = 112,813.08 : x
  2. Step 2: Convert to fraction form
    188,257.56/259,822.64 = 112,813.08/x
  3. Step 3: Cross multiply
    188,257.56x = 259,822.64 × 112,813.08
  4. Step 4: Simplify right side
    188,257.56x = 29,311,392,272.13
  5. Step 5: Solve for x
    x = 29,311,392,272.13/188,257.56
  6. Step 6: Final answer
    x = 155,698.35

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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.