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Finding the Fourth Proportional to 166,064.45, 249,138.38 and 47,736

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Solution

The fourth proportional to 166,064.45, 249,138.38 and 47,736 is: 71,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,064.45 : 249,138.38 = 47,736 : x
  2. Step 2: Convert to fraction form
    166,064.45/249,138.38 = 47,736/x
  3. Step 3: Cross multiply
    166,064.45x = 249,138.38 × 47,736
  4. Step 4: Simplify right side
    166,064.45x = 11,892,869,827.02
  5. Step 5: Solve for x
    x = 11,892,869,827.02/166,064.45
  6. Step 6: Final answer
    x = 71,615.99

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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.