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Finding the Fourth Proportional to 276,575.58, 414,963 and 96,687.54

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Solution

The fourth proportional to 276,575.58, 414,963 and 96,687.54 is: 145,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,575.58 : 414,963 = 96,687.54 : x
  2. Step 2: Convert to fraction form
    276,575.58/414,963 = 96,687.54/x
  3. Step 3: Cross multiply
    276,575.58x = 414,963 × 96,687.54
  4. Step 4: Simplify right side
    276,575.58x = 40,121,751,661.02
  5. Step 5: Solve for x
    x = 40,121,751,661.02/276,575.58
  6. Step 6: Final answer
    x = 145,066.14

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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.