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Finding the Fourth Proportional to 208,226.90, 312,340.35 and 89,815.70

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Solution

The fourth proportional to 208,226.90, 312,340.35 and 89,815.70 is: 134,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,226.90 : 312,340.35 = 89,815.70 : x
  2. Step 2: Convert to fraction form
    208,226.90/312,340.35 = 89,815.70/x
  3. Step 3: Cross multiply
    208,226.90x = 312,340.35 × 89,815.70
  4. Step 4: Simplify right side
    208,226.90x = 28,053,067,173.50
  5. Step 5: Solve for x
    x = 28,053,067,173.50/208,226.90
  6. Step 6: Final answer
    x = 134,723.55

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Why These Related Problems?

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