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Finding the Fourth Proportional to 267,180.58, 400,797.19 and 77,642.60

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Solution

The fourth proportional to 267,180.58, 400,797.19 and 77,642.60 is: 116,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,180.58 : 400,797.19 = 77,642.60 : x
  2. Step 2: Convert to fraction form
    267,180.58/400,797.19 = 77,642.60/x
  3. Step 3: Cross multiply
    267,180.58x = 400,797.19 × 77,642.60
  4. Step 4: Simplify right side
    267,180.58x = 31,118,937,003.34
  5. Step 5: Solve for x
    x = 31,118,937,003.34/267,180.58
  6. Step 6: Final answer
    x = 116,471.55

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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.