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Finding the Fourth Proportional to 277,606.40, 383,096.40 and 150,281.96

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Solution

The fourth proportional to 277,606.40, 383,096.40 and 150,281.96 is: 207,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,606.40 : 383,096.40 = 150,281.96 : x
  2. Step 2: Convert to fraction form
    277,606.40/383,096.40 = 150,281.96/x
  3. Step 3: Cross multiply
    277,606.40x = 383,096.40 × 150,281.96
  4. Step 4: Simplify right side
    277,606.40x = 57,572,477,860.94
  5. Step 5: Solve for x
    x = 57,572,477,860.94/277,606.40
  6. Step 6: Final answer
    x = 207,388.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.