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Finding the Fourth Proportional to 129,018.92, 193,181.50 and 105,228.31

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Solution

The fourth proportional to 129,018.92, 193,181.50 and 105,228.31 is: 157,559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,018.92 : 193,181.50 = 105,228.31 : x
  2. Step 2: Convert to fraction form
    129,018.92/193,181.50 = 105,228.31/x
  3. Step 3: Cross multiply
    129,018.92x = 193,181.50 × 105,228.31
  4. Step 4: Simplify right side
    129,018.92x = 20,328,162,242.12
  5. Step 5: Solve for x
    x = 20,328,162,242.12/129,018.92
  6. Step 6: Final answer
    x = 157,559.54

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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.