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Finding the Fourth Proportional to 203,671.40, 305,467.54 and 102,442.46

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Solution

The fourth proportional to 203,671.40, 305,467.54 and 102,442.46 is: 153,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,671.40 : 305,467.54 = 102,442.46 : x
  2. Step 2: Convert to fraction form
    203,671.40/305,467.54 = 102,442.46/x
  3. Step 3: Cross multiply
    203,671.40x = 305,467.54 × 102,442.46
  4. Step 4: Simplify right side
    203,671.40x = 31,292,844,464.30
  5. Step 5: Solve for x
    x = 31,292,844,464.30/203,671.40
  6. Step 6: Final answer
    x = 153,643.79

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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.