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Finding the Fourth Proportional to 205,102.20, 307,653.30 and 135,060.60

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Solution

The fourth proportional to 205,102.20, 307,653.30 and 135,060.60 is: 202,590.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,102.20 : 307,653.30 = 135,060.60 : x
  2. Step 2: Convert to fraction form
    205,102.20/307,653.30 = 135,060.60/x
  3. Step 3: Cross multiply
    205,102.20x = 307,653.30 × 135,060.60
  4. Step 4: Simplify right side
    205,102.20x = 41,551,839,289.98
  5. Step 5: Solve for x
    x = 41,551,839,289.98/205,102.20
  6. Step 6: Final answer
    x = 202,590.90

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