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Finding the Fourth Proportional to 188,086.48, 259,631.60 and 127,684.12

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Solution

The fourth proportional to 188,086.48, 259,631.60 and 127,684.12 is: 176,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,086.48 : 259,631.60 = 127,684.12 : x
  2. Step 2: Convert to fraction form
    188,086.48/259,631.60 = 127,684.12/x
  3. Step 3: Cross multiply
    188,086.48x = 259,631.60 × 127,684.12
  4. Step 4: Simplify right side
    188,086.48x = 33,150,832,370.19
  5. Step 5: Solve for x
    x = 33,150,832,370.19/188,086.48
  6. Step 6: Final answer
    x = 176,253.14

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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.