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Finding the Fourth Proportional to 166,524.46, 249,823.55 and 77,729.47

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Solution

The fourth proportional to 166,524.46, 249,823.55 and 77,729.47 is: 116,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,524.46 : 249,823.55 = 77,729.47 : x
  2. Step 2: Convert to fraction form
    166,524.46/249,823.55 = 77,729.47/x
  3. Step 3: Cross multiply
    166,524.46x = 249,823.55 × 77,729.47
  4. Step 4: Simplify right side
    166,524.46x = 19,418,652,135.02
  5. Step 5: Solve for x
    x = 19,418,652,135.02/166,524.46
  6. Step 6: Final answer
    x = 116,611.41

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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.