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Finding the Fourth Proportional to 253,601.68, 349,970.32 and 140,424.48

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Solution

The fourth proportional to 253,601.68, 349,970.32 and 140,424.48 is: 193,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,601.68 : 349,970.32 = 140,424.48 : x
  2. Step 2: Convert to fraction form
    253,601.68/349,970.32 = 140,424.48/x
  3. Step 3: Cross multiply
    253,601.68x = 349,970.32 × 140,424.48
  4. Step 4: Simplify right side
    253,601.68x = 49,144,400,201.43
  5. Step 5: Solve for x
    x = 49,144,400,201.43/253,601.68
  6. Step 6: Final answer
    x = 193,785.78

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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.