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Finding the Fourth Proportional to 334,169.82, 461,111.73 and 190,939.14

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Solution

The fourth proportional to 334,169.82, 461,111.73 and 190,939.14 is: 263,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,169.82 : 461,111.73 = 190,939.14 : x
  2. Step 2: Convert to fraction form
    334,169.82/461,111.73 = 190,939.14/x
  3. Step 3: Cross multiply
    334,169.82x = 461,111.73 × 190,939.14
  4. Step 4: Simplify right side
    334,169.82x = 88,044,277,170.11
  5. Step 5: Solve for x
    x = 88,044,277,170.11/334,169.82
  6. Step 6: Final answer
    x = 263,471.66

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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.