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Finding the Fourth Proportional to 166,223.70, 249,329.15 and 55,415.70

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Solution

The fourth proportional to 166,223.70, 249,329.15 and 55,415.70 is: 83,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,223.70 : 249,329.15 = 55,415.70 : x
  2. Step 2: Convert to fraction form
    166,223.70/249,329.15 = 55,415.70/x
  3. Step 3: Cross multiply
    166,223.70x = 249,329.15 × 55,415.70
  4. Step 4: Simplify right side
    166,223.70x = 13,816,749,377.66
  5. Step 5: Solve for x
    x = 13,816,749,377.66/166,223.70
  6. Step 6: Final answer
    x = 83,121.42

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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.