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Finding the Fourth Proportional to 227,772, 341,357.76 and 198,048.24

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Solution

The fourth proportional to 227,772, 341,357.76 and 198,048.24 is: 296,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,772 : 341,357.76 = 198,048.24 : x
  2. Step 2: Convert to fraction form
    227,772/341,357.76 = 198,048.24/x
  3. Step 3: Cross multiply
    227,772x = 341,357.76 × 198,048.24
  4. Step 4: Simplify right side
    227,772x = 67,605,303,578.34
  5. Step 5: Solve for x
    x = 67,605,303,578.34/227,772
  6. Step 6: Final answer
    x = 296,811.30

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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.