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Finding the Fourth Proportional to 295,105, 407,244.90 and 160,969

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Solution

The fourth proportional to 295,105, 407,244.90 and 160,969 is: 222,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,105 : 407,244.90 = 160,969 : x
  2. Step 2: Convert to fraction form
    295,105/407,244.90 = 160,969/x
  3. Step 3: Cross multiply
    295,105x = 407,244.90 × 160,969
  4. Step 4: Simplify right side
    295,105x = 65,553,804,308.10
  5. Step 5: Solve for x
    x = 65,553,804,308.10/295,105
  6. Step 6: Final answer
    x = 222,137.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.