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Finding the Fourth Proportional to 208,036.66, 312,067.96 and 83,361.46

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Solution

The fourth proportional to 208,036.66, 312,067.96 and 83,361.46 is: 125,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,036.66 : 312,067.96 = 83,361.46 : x
  2. Step 2: Convert to fraction form
    208,036.66/312,067.96 = 83,361.46/x
  3. Step 3: Cross multiply
    208,036.66x = 312,067.96 × 83,361.46
  4. Step 4: Simplify right side
    208,036.66x = 26,014,440,764.82
  5. Step 5: Solve for x
    x = 26,014,440,764.82/208,036.66
  6. Step 6: Final answer
    x = 125,047.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.