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Finding the Fourth Proportional to 259,570.19, 389,049.98 and 117,249.32

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Solution

The fourth proportional to 259,570.19, 389,049.98 and 117,249.32 is: 175,736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,570.19 : 389,049.98 = 117,249.32 : x
  2. Step 2: Convert to fraction form
    259,570.19/389,049.98 = 117,249.32/x
  3. Step 3: Cross multiply
    259,570.19x = 389,049.98 × 117,249.32
  4. Step 4: Simplify right side
    259,570.19x = 45,615,843,069.52
  5. Step 5: Solve for x
    x = 45,615,843,069.52/259,570.19
  6. Step 6: Final answer
    x = 175,736.07

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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.