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Finding the Fourth Proportional to 208,559.10, 312,911.55 and 90,315.30

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Solution

The fourth proportional to 208,559.10, 312,911.55 and 90,315.30 is: 135,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,559.10 : 312,911.55 = 90,315.30 : x
  2. Step 2: Convert to fraction form
    208,559.10/312,911.55 = 90,315.30/x
  3. Step 3: Cross multiply
    208,559.10x = 312,911.55 × 90,315.30
  4. Step 4: Simplify right side
    208,559.10x = 28,260,700,511.72
  5. Step 5: Solve for x
    x = 28,260,700,511.72/208,559.10
  6. Step 6: Final answer
    x = 135,504.52

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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.