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Finding the Fourth Proportional to 208,484.53, 313,072.76 and 130,096.98

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Solution

The fourth proportional to 208,484.53, 313,072.76 and 130,096.98 is: 195,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,484.53 : 313,072.76 = 130,096.98 : x
  2. Step 2: Convert to fraction form
    208,484.53/313,072.76 = 130,096.98/x
  3. Step 3: Cross multiply
    208,484.53x = 313,072.76 × 130,096.98
  4. Step 4: Simplify right side
    208,484.53x = 40,729,819,945.78
  5. Step 5: Solve for x
    x = 40,729,819,945.78/208,484.53
  6. Step 6: Final answer
    x = 195,361.36

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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.