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Finding the Fourth Proportional to 105,130.17, 157,741.56 and 55,198.67

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Solution

The fourth proportional to 105,130.17, 157,741.56 and 55,198.67 is: 82,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,130.17 : 157,741.56 = 55,198.67 : x
  2. Step 2: Convert to fraction form
    105,130.17/157,741.56 = 55,198.67/x
  3. Step 3: Cross multiply
    105,130.17x = 157,741.56 × 55,198.67
  4. Step 4: Simplify right side
    105,130.17x = 8,707,123,527.02
  5. Step 5: Solve for x
    x = 8,707,123,527.02/105,130.17
  6. Step 6: Final answer
    x = 82,822.31

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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.