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Finding the Fourth Proportional to 130,187.68, 195,149.40 and 51,357.76

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Solution

The fourth proportional to 130,187.68, 195,149.40 and 51,357.76 is: 76,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,187.68 : 195,149.40 = 51,357.76 : x
  2. Step 2: Convert to fraction form
    130,187.68/195,149.40 = 51,357.76/x
  3. Step 3: Cross multiply
    130,187.68x = 195,149.40 × 51,357.76
  4. Step 4: Simplify right side
    130,187.68x = 10,022,436,049.34
  5. Step 5: Solve for x
    x = 10,022,436,049.34/130,187.68
  6. Step 6: Final answer
    x = 76,984.52

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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.