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Finding the Fourth Proportional to 130,537.40, 195,806.25 and 35,768.39

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Solution

The fourth proportional to 130,537.40, 195,806.25 and 35,768.39 is: 53,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,537.40 : 195,806.25 = 35,768.39 : x
  2. Step 2: Convert to fraction form
    130,537.40/195,806.25 = 35,768.39/x
  3. Step 3: Cross multiply
    130,537.40x = 195,806.25 × 35,768.39
  4. Step 4: Simplify right side
    130,537.40x = 7,003,674,314.44
  5. Step 5: Solve for x
    x = 7,003,674,314.44/130,537.40
  6. Step 6: Final answer
    x = 53,652.63

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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.