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Finding the Fourth Proportional to 208,833.20, 313,249.80 and 120,359.60

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Solution

The fourth proportional to 208,833.20, 313,249.80 and 120,359.60 is: 180,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,833.20 : 313,249.80 = 120,359.60 : x
  2. Step 2: Convert to fraction form
    208,833.20/313,249.80 = 120,359.60/x
  3. Step 3: Cross multiply
    208,833.20x = 313,249.80 × 120,359.60
  4. Step 4: Simplify right side
    208,833.20x = 37,702,620,628.08
  5. Step 5: Solve for x
    x = 37,702,620,628.08/208,833.20
  6. Step 6: Final answer
    x = 180,539.40

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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.