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Finding the Fourth Proportional to 265,208.40, 365,995.32 and 144,357.48

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Solution

The fourth proportional to 265,208.40, 365,995.32 and 144,357.48 is: 199,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,208.40 : 365,995.32 = 144,357.48 : x
  2. Step 2: Convert to fraction form
    265,208.40/365,995.32 = 144,357.48/x
  3. Step 3: Cross multiply
    265,208.40x = 365,995.32 × 144,357.48
  4. Step 4: Simplify right side
    265,208.40x = 52,834,162,086.99
  5. Step 5: Solve for x
    x = 52,834,162,086.99/265,208.40
  6. Step 6: Final answer
    x = 199,217.53

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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.