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Finding the Fourth Proportional to 193,238.29, 266,682.50 and 107,224.80

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Solution

The fourth proportional to 193,238.29, 266,682.50 and 107,224.80 is: 147,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,238.29 : 266,682.50 = 107,224.80 : x
  2. Step 2: Convert to fraction form
    193,238.29/266,682.50 = 107,224.80/x
  3. Step 3: Cross multiply
    193,238.29x = 266,682.50 × 107,224.80
  4. Step 4: Simplify right side
    193,238.29x = 28,594,977,726
  5. Step 5: Solve for x
    x = 28,594,977,726/193,238.29
  6. Step 6: Final answer
    x = 147,977.80

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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.