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Finding the Fourth Proportional to 205,204.86, 306,322.49 and 177,304.41

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Solution

The fourth proportional to 205,204.86, 306,322.49 and 177,304.41 is: 264,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,204.86 : 306,322.49 = 177,304.41 : x
  2. Step 2: Convert to fraction form
    205,204.86/306,322.49 = 177,304.41/x
  3. Step 3: Cross multiply
    205,204.86x = 306,322.49 × 177,304.41
  4. Step 4: Simplify right side
    205,204.86x = 54,312,328,802.44
  5. Step 5: Solve for x
    x = 54,312,328,802.44/205,204.86
  6. Step 6: Final answer
    x = 264,673.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.