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Finding the Fourth Proportional to 206,430.84, 309,548.64 and 80,131.58

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Solution

The fourth proportional to 206,430.84, 309,548.64 and 80,131.58 is: 120,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.84 : 309,548.64 = 80,131.58 : x
  2. Step 2: Convert to fraction form
    206,430.84/309,548.64 = 80,131.58/x
  3. Step 3: Cross multiply
    206,430.84x = 309,548.64 × 80,131.58
  4. Step 4: Simplify right side
    206,430.84x = 24,804,621,610.05
  5. Step 5: Solve for x
    x = 24,804,621,610.05/206,430.84
  6. Step 6: Final answer
    x = 120,159.48

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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.