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Finding the Fourth Proportional to 142,162.56, 196,178.88 and 78,498.84

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Solution

The fourth proportional to 142,162.56, 196,178.88 and 78,498.84 is: 108,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,162.56 : 196,178.88 = 78,498.84 : x
  2. Step 2: Convert to fraction form
    142,162.56/196,178.88 = 78,498.84/x
  3. Step 3: Cross multiply
    142,162.56x = 196,178.88 × 78,498.84
  4. Step 4: Simplify right side
    142,162.56x = 15,399,814,512.50
  5. Step 5: Solve for x
    x = 15,399,814,512.50/142,162.56
  6. Step 6: Final answer
    x = 108,325.39

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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.