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Finding the Fourth Proportional to 205,562.46, 283,678.31 and 114,923.46

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Solution

The fourth proportional to 205,562.46, 283,678.31 and 114,923.46 is: 158,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,562.46 : 283,678.31 = 114,923.46 : x
  2. Step 2: Convert to fraction form
    205,562.46/283,678.31 = 114,923.46/x
  3. Step 3: Cross multiply
    205,562.46x = 283,678.31 × 114,923.46
  4. Step 4: Simplify right side
    205,562.46x = 32,601,292,912.15
  5. Step 5: Solve for x
    x = 32,601,292,912.15/205,562.46
  6. Step 6: Final answer
    x = 158,595.56

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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.