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Finding the Fourth Proportional to 166,114.90, 249,163.64 and 47,781.60

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Solution

The fourth proportional to 166,114.90, 249,163.64 and 47,781.60 is: 71,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,114.90 : 249,163.64 = 47,781.60 : x
  2. Step 2: Convert to fraction form
    166,114.90/249,163.64 = 47,781.60/x
  3. Step 3: Cross multiply
    166,114.90x = 249,163.64 × 47,781.60
  4. Step 4: Simplify right side
    166,114.90x = 11,905,436,254.66
  5. Step 5: Solve for x
    x = 11,905,436,254.66/166,114.90
  6. Step 6: Final answer
    x = 71,669.89

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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.