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Finding the Fourth Proportional to 166,033.80, 249,023.97 and 47,678.22

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Solution

The fourth proportional to 166,033.80, 249,023.97 and 47,678.22 is: 71,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,033.80 : 249,023.97 = 47,678.22 : x
  2. Step 2: Convert to fraction form
    166,033.80/249,023.97 = 47,678.22/x
  3. Step 3: Cross multiply
    166,033.80x = 249,023.97 × 47,678.22
  4. Step 4: Simplify right side
    166,033.80x = 11,873,019,626.93
  5. Step 5: Solve for x
    x = 11,873,019,626.93/166,033.80
  6. Step 6: Final answer
    x = 71,509.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.