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Finding the Fourth Proportional to 248,777.76, 343,322.56 and 141,366

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Solution

The fourth proportional to 248,777.76, 343,322.56 and 141,366 is: 195,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,777.76 : 343,322.56 = 141,366 : x
  2. Step 2: Convert to fraction form
    248,777.76/343,322.56 = 141,366/x
  3. Step 3: Cross multiply
    248,777.76x = 343,322.56 × 141,366
  4. Step 4: Simplify right side
    248,777.76x = 48,534,137,016.96
  5. Step 5: Solve for x
    x = 48,534,137,016.96/248,777.76
  6. Step 6: Final answer
    x = 195,090.34

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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.