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Finding the Fourth Proportional to 295,103.25, 407,242.49 and 160,967.25

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Solution

The fourth proportional to 295,103.25, 407,242.49 and 160,967.25 is: 222,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,103.25 : 407,242.49 = 160,967.25 : x
  2. Step 2: Convert to fraction form
    295,103.25/407,242.49 = 160,967.25/x
  3. Step 3: Cross multiply
    295,103.25x = 407,242.49 × 160,967.25
  4. Step 4: Simplify right side
    295,103.25x = 65,552,702,893.62
  5. Step 5: Solve for x
    x = 65,552,702,893.62/295,103.25
  6. Step 6: Final answer
    x = 222,134.81

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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.