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Finding the Fourth Proportional to 266,580.38, 367,880.83 and 145,722.14

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Solution

The fourth proportional to 266,580.38, 367,880.83 and 145,722.14 is: 201,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,580.38 : 367,880.83 = 145,722.14 : x
  2. Step 2: Convert to fraction form
    266,580.38/367,880.83 = 145,722.14/x
  3. Step 3: Cross multiply
    266,580.38x = 367,880.83 × 145,722.14
  4. Step 4: Simplify right side
    266,580.38x = 53,608,379,608.87
  5. Step 5: Solve for x
    x = 53,608,379,608.87/266,580.38
  6. Step 6: Final answer
    x = 201,096.49

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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.