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Finding the Fourth Proportional to 188,335.35, 259,904.69 and 102,295.16

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Solution

The fourth proportional to 188,335.35, 259,904.69 and 102,295.16 is: 141,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,335.35 : 259,904.69 = 102,295.16 : x
  2. Step 2: Convert to fraction form
    188,335.35/259,904.69 = 102,295.16/x
  3. Step 3: Cross multiply
    188,335.35x = 259,904.69 × 102,295.16
  4. Step 4: Simplify right side
    188,335.35x = 26,586,991,336.82
  5. Step 5: Solve for x
    x = 26,586,991,336.82/188,335.35
  6. Step 6: Final answer
    x = 141,168.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.