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Finding the Fourth Proportional to 193,013.78, 266,351.76 and 106,974.23

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Solution

The fourth proportional to 193,013.78, 266,351.76 and 106,974.23 is: 147,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,013.78 : 266,351.76 = 106,974.23 : x
  2. Step 2: Convert to fraction form
    193,013.78/266,351.76 = 106,974.23/x
  3. Step 3: Cross multiply
    193,013.78x = 266,351.76 × 106,974.23
  4. Step 4: Simplify right side
    193,013.78x = 28,492,773,103.39
  5. Step 5: Solve for x
    x = 28,492,773,103.39/193,013.78
  6. Step 6: Final answer
    x = 147,620.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.