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Finding the Fourth Proportional to 130,122.40, 195,205.20 and 51,239.20

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Solution

The fourth proportional to 130,122.40, 195,205.20 and 51,239.20 is: 76,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,122.40 : 195,205.20 = 51,239.20 : x
  2. Step 2: Convert to fraction form
    130,122.40/195,205.20 = 51,239.20/x
  3. Step 3: Cross multiply
    130,122.40x = 195,205.20 × 51,239.20
  4. Step 4: Simplify right side
    130,122.40x = 10,002,158,283.84
  5. Step 5: Solve for x
    x = 10,002,158,283.84/130,122.40
  6. Step 6: Final answer
    x = 76,867.31

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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.