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Finding the Fourth Proportional to 193,272.50, 266,718.24 and 107,233.06

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Solution

The fourth proportional to 193,272.50, 266,718.24 and 107,233.06 is: 147,982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,272.50 : 266,718.24 = 107,233.06 : x
  2. Step 2: Convert to fraction form
    193,272.50/266,718.24 = 107,233.06/x
  3. Step 3: Cross multiply
    193,272.50x = 266,718.24 × 107,233.06
  4. Step 4: Simplify right side
    193,272.50x = 28,601,013,033.01
  5. Step 5: Solve for x
    x = 28,601,013,033.01/193,272.50
  6. Step 6: Final answer
    x = 147,982.84

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