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Finding the Fourth Proportional to 189,443.04, 283,800 and 118,393.44

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Solution

The fourth proportional to 189,443.04, 283,800 and 118,393.44 is: 177,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,443.04 : 283,800 = 118,393.44 : x
  2. Step 2: Convert to fraction form
    189,443.04/283,800 = 118,393.44/x
  3. Step 3: Cross multiply
    189,443.04x = 283,800 × 118,393.44
  4. Step 4: Simplify right side
    189,443.04x = 33,600,058,272
  5. Step 5: Solve for x
    x = 33,600,058,272/189,443.04
  6. Step 6: Final answer
    x = 177,362.33

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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.