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Finding the Fourth Proportional to 193,342.32, 266,826 and 107,305.68

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Solution

The fourth proportional to 193,342.32, 266,826 and 107,305.68 is: 148,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,342.32 : 266,826 = 107,305.68 : x
  2. Step 2: Convert to fraction form
    193,342.32/266,826 = 107,305.68/x
  3. Step 3: Cross multiply
    193,342.32x = 266,826 × 107,305.68
  4. Step 4: Simplify right side
    193,342.32x = 28,631,945,371.68
  5. Step 5: Solve for x
    x = 28,631,945,371.68/193,342.32
  6. Step 6: Final answer
    x = 148,089.39

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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.