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Finding the Fourth Proportional to 166,419.50, 249,629.26 and 55,611.50

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Solution

The fourth proportional to 166,419.50, 249,629.26 and 55,611.50 is: 83,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,419.50 : 249,629.26 = 55,611.50 : x
  2. Step 2: Convert to fraction form
    166,419.50/249,629.26 = 55,611.50/x
  3. Step 3: Cross multiply
    166,419.50x = 249,629.26 × 55,611.50
  4. Step 4: Simplify right side
    166,419.50x = 13,882,257,592.49
  5. Step 5: Solve for x
    x = 13,882,257,592.49/166,419.50
  6. Step 6: Final answer
    x = 83,417.25

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Why These Related Problems?

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