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Finding the Fourth Proportional to 205,669.50, 306,256.98 and 198,102.72

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Solution

The fourth proportional to 205,669.50, 306,256.98 and 198,102.72 is: 294,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,669.50 : 306,256.98 = 198,102.72 : x
  2. Step 2: Convert to fraction form
    205,669.50/306,256.98 = 198,102.72/x
  3. Step 3: Cross multiply
    205,669.50x = 306,256.98 × 198,102.72
  4. Step 4: Simplify right side
    205,669.50x = 60,670,340,756.99
  5. Step 5: Solve for x
    x = 60,670,340,756.99/205,669.50
  6. Step 6: Final answer
    x = 294,989.49

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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.