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Finding the Fourth Proportional to 130,196.87, 195,369.06 and 51,366.45

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Solution

The fourth proportional to 130,196.87, 195,369.06 and 51,366.45 is: 77,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,196.87 : 195,369.06 = 51,366.45 : x
  2. Step 2: Convert to fraction form
    130,196.87/195,369.06 = 51,366.45/x
  3. Step 3: Cross multiply
    130,196.87x = 195,369.06 × 51,366.45
  4. Step 4: Simplify right side
    130,196.87x = 10,035,415,052.04
  5. Step 5: Solve for x
    x = 10,035,415,052.04/130,196.87
  6. Step 6: Final answer
    x = 77,078.78

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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.