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Finding the Fourth Proportional to 265,859.06, 397,851.81 and 166,066.25

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Solution

The fourth proportional to 265,859.06, 397,851.81 and 166,066.25 is: 248,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,859.06 : 397,851.81 = 166,066.25 : x
  2. Step 2: Convert to fraction form
    265,859.06/397,851.81 = 166,066.25/x
  3. Step 3: Cross multiply
    265,859.06x = 397,851.81 × 166,066.25
  4. Step 4: Simplify right side
    265,859.06x = 66,069,758,142.41
  5. Step 5: Solve for x
    x = 66,069,758,142.41/265,859.06
  6. Step 6: Final answer
    x = 248,514.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.