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Finding the Fourth Proportional to 130,138.84, 195,245.62 and 54,222.60

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Solution

The fourth proportional to 130,138.84, 195,245.62 and 54,222.60 is: 81,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,138.84 : 195,245.62 = 54,222.60 : x
  2. Step 2: Convert to fraction form
    130,138.84/195,245.62 = 54,222.60/x
  3. Step 3: Cross multiply
    130,138.84x = 195,245.62 × 54,222.60
  4. Step 4: Simplify right side
    130,138.84x = 10,586,725,155.01
  5. Step 5: Solve for x
    x = 10,586,725,155.01/130,138.84
  6. Step 6: Final answer
    x = 81,349.47

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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.