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Finding the Fourth Proportional to 286,249.34, 395,041.92 and 158,927.06

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Solution

The fourth proportional to 286,249.34, 395,041.92 and 158,927.06 is: 219,329.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,249.34 : 395,041.92 = 158,927.06 : x
  2. Step 2: Convert to fraction form
    286,249.34/395,041.92 = 158,927.06/x
  3. Step 3: Cross multiply
    286,249.34x = 395,041.92 × 158,927.06
  4. Step 4: Simplify right side
    286,249.34x = 62,782,850,922.36
  5. Step 5: Solve for x
    x = 62,782,850,922.36/286,249.34
  6. Step 6: Final answer
    x = 219,329.24

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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.