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Finding the Fourth Proportional to 267,431.89, 369,039.26 and 146,564.60

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Solution

The fourth proportional to 267,431.89, 369,039.26 and 146,564.60 is: 202,249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,431.89 : 369,039.26 = 146,564.60 : x
  2. Step 2: Convert to fraction form
    267,431.89/369,039.26 = 146,564.60/x
  3. Step 3: Cross multiply
    267,431.89x = 369,039.26 × 146,564.60
  4. Step 4: Simplify right side
    267,431.89x = 54,088,089,681.00
  5. Step 5: Solve for x
    x = 54,088,089,681.00/267,431.89
  6. Step 6: Final answer
    x = 202,249.97

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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.