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Finding the Fourth Proportional to 150,096.27, 224,848.54 and 122,047.99

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Solution

The fourth proportional to 150,096.27, 224,848.54 and 122,047.99 is: 182,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,096.27 : 224,848.54 = 122,047.99 : x
  2. Step 2: Convert to fraction form
    150,096.27/224,848.54 = 122,047.99/x
  3. Step 3: Cross multiply
    150,096.27x = 224,848.54 × 122,047.99
  4. Step 4: Simplify right side
    150,096.27x = 27,442,312,361.43
  5. Step 5: Solve for x
    x = 27,442,312,361.43/150,096.27
  6. Step 6: Final answer
    x = 182,831.41

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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.