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Finding the Fourth Proportional to 271,999.32, 407,583.32 and 114,141.66

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Solution

The fourth proportional to 271,999.32, 407,583.32 and 114,141.66 is: 171,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,999.32 : 407,583.32 = 114,141.66 : x
  2. Step 2: Convert to fraction form
    271,999.32/407,583.32 = 114,141.66/x
  3. Step 3: Cross multiply
    271,999.32x = 407,583.32 × 114,141.66
  4. Step 4: Simplify right side
    271,999.32x = 46,522,236,162.40
  5. Step 5: Solve for x
    x = 46,522,236,162.40/271,999.32
  6. Step 6: Final answer
    x = 171,038.06

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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.