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Finding the Fourth Proportional to 189,137.68, 261,009.96 and 103,096.78

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Solution

The fourth proportional to 189,137.68, 261,009.96 and 103,096.78 is: 142,273.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,137.68 : 261,009.96 = 103,096.78 : x
  2. Step 2: Convert to fraction form
    189,137.68/261,009.96 = 103,096.78/x
  3. Step 3: Cross multiply
    189,137.68x = 261,009.96 × 103,096.78
  4. Step 4: Simplify right side
    189,137.68x = 26,909,286,423.93
  5. Step 5: Solve for x
    x = 26,909,286,423.93/189,137.68
  6. Step 6: Final answer
    x = 142,273.54

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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.