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Finding the Fourth Proportional to 224,946.94, 308,774.38 and 198,882.34

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Solution

The fourth proportional to 224,946.94, 308,774.38 and 198,882.34 is: 272,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,946.94 : 308,774.38 = 198,882.34 : x
  2. Step 2: Convert to fraction form
    224,946.94/308,774.38 = 198,882.34/x
  3. Step 3: Cross multiply
    224,946.94x = 308,774.38 × 198,882.34
  4. Step 4: Simplify right side
    224,946.94x = 61,409,770,330.21
  5. Step 5: Solve for x
    x = 61,409,770,330.21/224,946.94
  6. Step 6: Final answer
    x = 272,996.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.