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Finding the Fourth Proportional to 188,344.44, 259,964.64 and 116,683.74

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Solution

The fourth proportional to 188,344.44, 259,964.64 and 116,683.74 is: 161,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,344.44 : 259,964.64 = 116,683.74 : x
  2. Step 2: Convert to fraction form
    188,344.44/259,964.64 = 116,683.74/x
  3. Step 3: Cross multiply
    188,344.44x = 259,964.64 × 116,683.74
  4. Step 4: Simplify right side
    188,344.44x = 30,333,646,462.95
  5. Step 5: Solve for x
    x = 30,333,646,462.95/188,344.44
  6. Step 6: Final answer
    x = 161,054.11

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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.