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Finding the Fourth Proportional to 166,147.98, 229,284.99 and 90,697.02

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Solution

The fourth proportional to 166,147.98, 229,284.99 and 90,697.02 is: 125,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,147.98 : 229,284.99 = 90,697.02 : x
  2. Step 2: Convert to fraction form
    166,147.98/229,284.99 = 90,697.02/x
  3. Step 3: Cross multiply
    166,147.98x = 229,284.99 × 90,697.02
  4. Step 4: Simplify right side
    166,147.98x = 20,795,465,323.73
  5. Step 5: Solve for x
    x = 20,795,465,323.73/166,147.98
  6. Step 6: Final answer
    x = 125,162.31

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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.