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Finding the Fourth Proportional to 105,239.25, 157,760.46 and 38,661.50

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Solution

The fourth proportional to 105,239.25, 157,760.46 and 38,661.50 is: 57,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239.25 : 157,760.46 = 38,661.50 : x
  2. Step 2: Convert to fraction form
    105,239.25/157,760.46 = 38,661.50/x
  3. Step 3: Cross multiply
    105,239.25x = 157,760.46 × 38,661.50
  4. Step 4: Simplify right side
    105,239.25x = 6,099,256,418.69
  5. Step 5: Solve for x
    x = 6,099,256,418.69/105,239.25
  6. Step 6: Final answer
    x = 57,956.10

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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.