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Finding the Fourth Proportional to 266,892.96, 400,322.16 and 100,676.64

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Solution

The fourth proportional to 266,892.96, 400,322.16 and 100,676.64 is: 151,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,892.96 : 400,322.16 = 100,676.64 : x
  2. Step 2: Convert to fraction form
    266,892.96/400,322.16 = 100,676.64/x
  3. Step 3: Cross multiply
    266,892.96x = 400,322.16 × 100,676.64
  4. Step 4: Simplify right side
    266,892.96x = 40,303,089,986.34
  5. Step 5: Solve for x
    x = 40,303,089,986.34/266,892.96
  6. Step 6: Final answer
    x = 151,008.44

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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.