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Finding the Fourth Proportional to 205,653.20, 308,940.60 and 197,256.40

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Solution

The fourth proportional to 205,653.20, 308,940.60 and 197,256.40 is: 296,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,653.20 : 308,940.60 = 197,256.40 : x
  2. Step 2: Convert to fraction form
    205,653.20/308,940.60 = 197,256.40/x
  3. Step 3: Cross multiply
    205,653.20x = 308,940.60 × 197,256.40
  4. Step 4: Simplify right side
    205,653.20x = 60,940,510,569.84
  5. Step 5: Solve for x
    x = 60,940,510,569.84/205,653.20
  6. Step 6: Final answer
    x = 296,326.59

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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.