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Finding the Fourth Proportional to 129,019.17, 193,181.87 and 105,228.56

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Solution

The fourth proportional to 129,019.17, 193,181.87 and 105,228.56 is: 157,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,019.17 : 193,181.87 = 105,228.56 : x
  2. Step 2: Convert to fraction form
    129,019.17/193,181.87 = 105,228.56/x
  3. Step 3: Cross multiply
    129,019.17x = 193,181.87 × 105,228.56
  4. Step 4: Simplify right side
    129,019.17x = 20,328,250,744.23
  5. Step 5: Solve for x
    x = 20,328,250,744.23/129,019.17
  6. Step 6: Final answer
    x = 157,559.92

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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.