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Finding the Fourth Proportional to 142,478.39, 196,620.36 and 78,820.49

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Solution

The fourth proportional to 142,478.39, 196,620.36 and 78,820.49 is: 108,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,478.39 : 196,620.36 = 78,820.49 : x
  2. Step 2: Convert to fraction form
    142,478.39/196,620.36 = 78,820.49/x
  3. Step 3: Cross multiply
    142,478.39x = 196,620.36 × 78,820.49
  4. Step 4: Simplify right side
    142,478.39x = 15,497,713,119.18
  5. Step 5: Solve for x
    x = 15,497,713,119.18/142,478.39
  6. Step 6: Final answer
    x = 108,772.38

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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.