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Finding the Fourth Proportional to 130,568.45, 195,866.81 and 55,696.50

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Solution

The fourth proportional to 130,568.45, 195,866.81 and 55,696.50 is: 83,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,568.45 : 195,866.81 = 55,696.50 : x
  2. Step 2: Convert to fraction form
    130,568.45/195,866.81 = 55,696.50/x
  3. Step 3: Cross multiply
    130,568.45x = 195,866.81 × 55,696.50
  4. Step 4: Simplify right side
    130,568.45x = 10,909,095,504.68
  5. Step 5: Solve for x
    x = 10,909,095,504.68/130,568.45
  6. Step 6: Final answer
    x = 83,550.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.