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Finding the Fourth Proportional to 213,958.10, 295,271.41 and 118,464.80

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Solution

The fourth proportional to 213,958.10, 295,271.41 and 118,464.80 is: 163,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958.10 : 295,271.41 = 118,464.80 : x
  2. Step 2: Convert to fraction form
    213,958.10/295,271.41 = 118,464.80/x
  3. Step 3: Cross multiply
    213,958.10x = 295,271.41 × 118,464.80
  4. Step 4: Simplify right side
    213,958.10x = 34,979,268,531.37
  5. Step 5: Solve for x
    x = 34,979,268,531.37/213,958.10
  6. Step 6: Final answer
    x = 163,486.54

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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.