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Finding the Fourth Proportional to 142,243.27, 196,278.97 and 78,577.27

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Solution

The fourth proportional to 142,243.27, 196,278.97 and 78,577.27 is: 108,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,243.27 : 196,278.97 = 78,577.27 : x
  2. Step 2: Convert to fraction form
    142,243.27/196,278.97 = 78,577.27/x
  3. Step 3: Cross multiply
    142,243.27x = 196,278.97 × 78,577.27
  4. Step 4: Simplify right side
    142,243.27x = 15,423,065,621.01
  5. Step 5: Solve for x
    x = 15,423,065,621.01/142,243.27
  6. Step 6: Final answer
    x = 108,427.38

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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.