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Finding the Fourth Proportional to 164,589.90, 227,165.55 and 96,621.90

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Solution

The fourth proportional to 164,589.90, 227,165.55 and 96,621.90 is: 133,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,589.90 : 227,165.55 = 96,621.90 : x
  2. Step 2: Convert to fraction form
    164,589.90/227,165.55 = 96,621.90/x
  3. Step 3: Cross multiply
    164,589.90x = 227,165.55 × 96,621.90
  4. Step 4: Simplify right side
    164,589.90x = 21,949,167,055.55
  5. Step 5: Solve for x
    x = 21,949,167,055.55/164,589.90
  6. Step 6: Final answer
    x = 133,356.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.