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Finding the Fourth Proportional to 205,325.34, 283,351.14 and 120,443.82

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Solution

The fourth proportional to 205,325.34, 283,351.14 and 120,443.82 is: 166,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325.34 : 283,351.14 = 120,443.82 : x
  2. Step 2: Convert to fraction form
    205,325.34/283,351.14 = 120,443.82/x
  3. Step 3: Cross multiply
    205,325.34x = 283,351.14 × 120,443.82
  4. Step 4: Simplify right side
    205,325.34x = 34,127,893,702.95
  5. Step 5: Solve for x
    x = 34,127,893,702.95/205,325.34
  6. Step 6: Final answer
    x = 166,213.74

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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.