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Finding the Fourth Proportional to 235,364.10, 353,046.15 and 205,839.60

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Solution

The fourth proportional to 235,364.10, 353,046.15 and 205,839.60 is: 308,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,364.10 : 353,046.15 = 205,839.60 : x
  2. Step 2: Convert to fraction form
    235,364.10/353,046.15 = 205,839.60/x
  3. Step 3: Cross multiply
    235,364.10x = 353,046.15 × 205,839.60
  4. Step 4: Simplify right side
    235,364.10x = 72,670,878,297.54
  5. Step 5: Solve for x
    x = 72,670,878,297.54/235,364.10
  6. Step 6: Final answer
    x = 308,759.40

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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.