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Finding the Fourth Proportional to 268,025.36, 402,096.36 and 81,032

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Solution

The fourth proportional to 268,025.36, 402,096.36 and 81,032 is: 121,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,025.36 : 402,096.36 = 81,032 : x
  2. Step 2: Convert to fraction form
    268,025.36/402,096.36 = 81,032/x
  3. Step 3: Cross multiply
    268,025.36x = 402,096.36 × 81,032
  4. Step 4: Simplify right side
    268,025.36x = 32,582,672,243.52
  5. Step 5: Solve for x
    x = 32,582,672,243.52/268,025.36
  6. Step 6: Final answer
    x = 121,565.63

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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.