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Finding the Fourth Proportional to 166,567.50, 229,866.84 and 91,116

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Solution

The fourth proportional to 166,567.50, 229,866.84 and 91,116 is: 125,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,567.50 : 229,866.84 = 91,116 : x
  2. Step 2: Convert to fraction form
    166,567.50/229,866.84 = 91,116/x
  3. Step 3: Cross multiply
    166,567.50x = 229,866.84 × 91,116
  4. Step 4: Simplify right side
    166,567.50x = 20,944,546,993.44
  5. Step 5: Solve for x
    x = 20,944,546,993.44/166,567.50
  6. Step 6: Final answer
    x = 125,742.10

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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.