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Finding the Fourth Proportional to 205,130.96, 307,519.80 and 80,442.32

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Solution

The fourth proportional to 205,130.96, 307,519.80 and 80,442.32 is: 120,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,130.96 : 307,519.80 = 80,442.32 : x
  2. Step 2: Convert to fraction form
    205,130.96/307,519.80 = 80,442.32/x
  3. Step 3: Cross multiply
    205,130.96x = 307,519.80 × 80,442.32
  4. Step 4: Simplify right side
    205,130.96x = 24,737,606,157.94
  5. Step 5: Solve for x
    x = 24,737,606,157.94/205,130.96
  6. Step 6: Final answer
    x = 120,594.21

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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.