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Finding the Fourth Proportional to 205,059.40, 307,589.10 and 111,747.40

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Solution

The fourth proportional to 205,059.40, 307,589.10 and 111,747.40 is: 167,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,059.40 : 307,589.10 = 111,747.40 : x
  2. Step 2: Convert to fraction form
    205,059.40/307,589.10 = 111,747.40/x
  3. Step 3: Cross multiply
    205,059.40x = 307,589.10 × 111,747.40
  4. Step 4: Simplify right side
    205,059.40x = 34,372,282,193.34
  5. Step 5: Solve for x
    x = 34,372,282,193.34/205,059.40
  6. Step 6: Final answer
    x = 167,621.10

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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.