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Finding the Fourth Proportional to 295,131.96, 407,281.26 and 160,995

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Solution

The fourth proportional to 295,131.96, 407,281.26 and 160,995 is: 222,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,131.96 : 407,281.26 = 160,995 : x
  2. Step 2: Convert to fraction form
    295,131.96/407,281.26 = 160,995/x
  3. Step 3: Cross multiply
    295,131.96x = 407,281.26 × 160,995
  4. Step 4: Simplify right side
    295,131.96x = 65,570,246,453.70
  5. Step 5: Solve for x
    x = 65,570,246,453.70/295,131.96
  6. Step 6: Final answer
    x = 222,172.64

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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.