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Finding the Fourth Proportional to 188,335.63, 259,905.08 and 102,295.44

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Solution

The fourth proportional to 188,335.63, 259,905.08 and 102,295.44 is: 141,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,335.63 : 259,905.08 = 102,295.44 : x
  2. Step 2: Convert to fraction form
    188,335.63/259,905.08 = 102,295.44/x
  3. Step 3: Cross multiply
    188,335.63x = 259,905.08 × 102,295.44
  4. Step 4: Simplify right side
    188,335.63x = 26,587,104,005.36
  5. Step 5: Solve for x
    x = 26,587,104,005.36/188,335.63
  6. Step 6: Final answer
    x = 141,168.74

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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.