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Finding the Fourth Proportional to 188,424.60, 259,961.64 and 116,778.48

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Solution

The fourth proportional to 188,424.60, 259,961.64 and 116,778.48 is: 161,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,424.60 : 259,961.64 = 116,778.48 : x
  2. Step 2: Convert to fraction form
    188,424.60/259,961.64 = 116,778.48/x
  3. Step 3: Cross multiply
    188,424.60x = 259,961.64 × 116,778.48
  4. Step 4: Simplify right side
    188,424.60x = 30,357,925,177.51
  5. Step 5: Solve for x
    x = 30,357,925,177.51/188,424.60
  6. Step 6: Final answer
    x = 161,114.45

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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.