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Finding the Fourth Proportional to 166,194, 249,190.74 and 77,467.41

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Solution

The fourth proportional to 166,194, 249,190.74 and 77,467.41 is: 116,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,194 : 249,190.74 = 77,467.41 : x
  2. Step 2: Convert to fraction form
    166,194/249,190.74 = 77,467.41/x
  3. Step 3: Cross multiply
    166,194x = 249,190.74 × 77,467.41
  4. Step 4: Simplify right side
    166,194x = 19,304,161,223.78
  5. Step 5: Solve for x
    x = 19,304,161,223.78/166,194
  6. Step 6: Final answer
    x = 116,154.38

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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.