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Finding the Fourth Proportional to 265,243.37, 397,719.63 and 105,157.13

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Solution

The fourth proportional to 265,243.37, 397,719.63 and 105,157.13 is: 157,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,243.37 : 397,719.63 = 105,157.13 : x
  2. Step 2: Convert to fraction form
    265,243.37/397,719.63 = 105,157.13/x
  3. Step 3: Cross multiply
    265,243.37x = 397,719.63 × 105,157.13
  4. Step 4: Simplify right side
    265,243.37x = 41,823,052,846.86
  5. Step 5: Solve for x
    x = 41,823,052,846.86/265,243.37
  6. Step 6: Final answer
    x = 157,678.04

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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.