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Finding the Fourth Proportional to 142,604.03, 196,795.02 and 78,940.46

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Solution

The fourth proportional to 142,604.03, 196,795.02 and 78,940.46 is: 108,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,604.03 : 196,795.02 = 78,940.46 : x
  2. Step 2: Convert to fraction form
    142,604.03/196,795.02 = 78,940.46/x
  3. Step 3: Cross multiply
    142,604.03x = 196,795.02 × 78,940.46
  4. Step 4: Simplify right side
    142,604.03x = 15,535,089,404.51
  5. Step 5: Solve for x
    x = 15,535,089,404.51/142,604.03
  6. Step 6: Final answer
    x = 108,938.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.