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Finding the Fourth Proportional to 208,433.52, 311,902.90 and 180,449.84

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Solution

The fourth proportional to 208,433.52, 311,902.90 and 180,449.84 is: 270,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,433.52 : 311,902.90 = 180,449.84 : x
  2. Step 2: Convert to fraction form
    208,433.52/311,902.90 = 180,449.84/x
  3. Step 3: Cross multiply
    208,433.52x = 311,902.90 × 180,449.84
  4. Step 4: Simplify right side
    208,433.52x = 56,282,828,400.54
  5. Step 5: Solve for x
    x = 56,282,828,400.54/208,433.52
  6. Step 6: Final answer
    x = 270,027.72

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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.