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Finding the Fourth Proportional to 265,194, 365,967.72 and 145,962

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Solution

The fourth proportional to 265,194, 365,967.72 and 145,962 is: 201,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,194 : 365,967.72 = 145,962 : x
  2. Step 2: Convert to fraction form
    265,194/365,967.72 = 145,962/x
  3. Step 3: Cross multiply
    265,194x = 365,967.72 × 145,962
  4. Step 4: Simplify right side
    265,194x = 53,417,380,346.64
  5. Step 5: Solve for x
    x = 53,417,380,346.64/265,194
  6. Step 6: Final answer
    x = 201,427.56

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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.