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Finding the Fourth Proportional to 205,168.30, 283,179.48 and 120,312.70

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Solution

The fourth proportional to 205,168.30, 283,179.48 and 120,312.70 is: 166,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,168.30 : 283,179.48 = 120,312.70 : x
  2. Step 2: Convert to fraction form
    205,168.30/283,179.48 = 120,312.70/x
  3. Step 3: Cross multiply
    205,168.30x = 283,179.48 × 120,312.70
  4. Step 4: Simplify right side
    205,168.30x = 34,070,086,407.50
  5. Step 5: Solve for x
    x = 34,070,086,407.50/205,168.30
  6. Step 6: Final answer
    x = 166,059.22

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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.