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Finding the Fourth Proportional to 213,904.44, 295,190.46 and 118,412.82

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Solution

The fourth proportional to 213,904.44, 295,190.46 and 118,412.82 is: 163,410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904.44 : 295,190.46 = 118,412.82 : x
  2. Step 2: Convert to fraction form
    213,904.44/295,190.46 = 118,412.82/x
  3. Step 3: Cross multiply
    213,904.44x = 295,190.46 × 118,412.82
  4. Step 4: Simplify right side
    213,904.44x = 34,954,334,805.70
  5. Step 5: Solve for x
    x = 34,954,334,805.70/213,904.44
  6. Step 6: Final answer
    x = 163,410.98

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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.