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Finding the Fourth Proportional to 193,287.15, 266,745.25 and 120,733.00

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Solution

The fourth proportional to 193,287.15, 266,745.25 and 120,733.00 is: 166,617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,287.15 : 266,745.25 = 120,733.00 : x
  2. Step 2: Convert to fraction form
    193,287.15/266,745.25 = 120,733.00/x
  3. Step 3: Cross multiply
    193,287.15x = 266,745.25 × 120,733.00
  4. Step 4: Simplify right side
    193,287.15x = 32,204,953,299.55
  5. Step 5: Solve for x
    x = 32,204,953,299.55/193,287.15
  6. Step 6: Final answer
    x = 166,617.15

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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.