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Finding the Fourth Proportional to 126,129.68, 189,189 and 31,357.84

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Solution

The fourth proportional to 126,129.68, 189,189 and 31,357.84 is: 47,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,129.68 : 189,189 = 31,357.84 : x
  2. Step 2: Convert to fraction form
    126,129.68/189,189 = 31,357.84/x
  3. Step 3: Cross multiply
    126,129.68x = 189,189 × 31,357.84
  4. Step 4: Simplify right side
    126,129.68x = 5,932,558,391.76
  5. Step 5: Solve for x
    x = 5,932,558,391.76/126,129.68
  6. Step 6: Final answer
    x = 47,035.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.