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Finding the Fourth Proportional to 142,794.56, 197,056.32 and 86,194.88

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Solution

The fourth proportional to 142,794.56, 197,056.32 and 86,194.88 is: 118,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,794.56 : 197,056.32 = 86,194.88 : x
  2. Step 2: Convert to fraction form
    142,794.56/197,056.32 = 86,194.88/x
  3. Step 3: Cross multiply
    142,794.56x = 197,056.32 × 86,194.88
  4. Step 4: Simplify right side
    142,794.56x = 16,985,245,855.64
  5. Step 5: Solve for x
    x = 16,985,245,855.64/142,794.56
  6. Step 6: Final answer
    x = 118,948.83

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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.