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Finding the Fourth Proportional to 267,135.22, 400,610.56 and 77,544.19

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Solution

The fourth proportional to 267,135.22, 400,610.56 and 77,544.19 is: 116,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,135.22 : 400,610.56 = 77,544.19 : x
  2. Step 2: Convert to fraction form
    267,135.22/400,610.56 = 77,544.19/x
  3. Step 3: Cross multiply
    267,135.22x = 400,610.56 × 77,544.19
  4. Step 4: Simplify right side
    267,135.22x = 31,065,019,579.51
  5. Step 5: Solve for x
    x = 31,065,019,579.51/267,135.22
  6. Step 6: Final answer
    x = 116,289.50

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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.