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Finding the Fourth Proportional to 205,379.34, 283,425.66 and 120,497.82

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Solution

The fourth proportional to 205,379.34, 283,425.66 and 120,497.82 is: 166,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,379.34 : 283,425.66 = 120,497.82 : x
  2. Step 2: Convert to fraction form
    205,379.34/283,425.66 = 120,497.82/x
  3. Step 3: Cross multiply
    205,379.34x = 283,425.66 × 120,497.82
  4. Step 4: Simplify right side
    205,379.34x = 34,152,174,162.06
  5. Step 5: Solve for x
    x = 34,152,174,162.06/205,379.34
  6. Step 6: Final answer
    x = 166,288.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.