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Finding the Fourth Proportional to 188,882.51, 281,941.83 and 166,463.02

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Solution

The fourth proportional to 188,882.51, 281,941.83 and 166,463.02 is: 248,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,882.51 : 281,941.83 = 166,463.02 : x
  2. Step 2: Convert to fraction form
    188,882.51/281,941.83 = 166,463.02/x
  3. Step 3: Cross multiply
    188,882.51x = 281,941.83 × 166,463.02
  4. Step 4: Simplify right side
    188,882.51x = 46,932,888,838.55
  5. Step 5: Solve for x
    x = 46,932,888,838.55/188,882.51
  6. Step 6: Final answer
    x = 248,476.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.