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Finding the Fourth Proportional to 263,777.58, 364,030.92 and 149,016.42

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Solution

The fourth proportional to 263,777.58, 364,030.92 and 149,016.42 is: 205,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,777.58 : 364,030.92 = 149,016.42 : x
  2. Step 2: Convert to fraction form
    263,777.58/364,030.92 = 149,016.42/x
  3. Step 3: Cross multiply
    263,777.58x = 364,030.92 × 149,016.42
  4. Step 4: Simplify right side
    263,777.58x = 54,246,584,467.71
  5. Step 5: Solve for x
    x = 54,246,584,467.71/263,777.58
  6. Step 6: Final answer
    x = 205,652.75

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1.5x scale

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.