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Finding the Fourth Proportional to 232,907.38, 321,321.12 and 130,909.44

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Solution

The fourth proportional to 232,907.38, 321,321.12 and 130,909.44 is: 180,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,907.38 : 321,321.12 = 130,909.44 : x
  2. Step 2: Convert to fraction form
    232,907.38/321,321.12 = 130,909.44/x
  3. Step 3: Cross multiply
    232,907.38x = 321,321.12 × 130,909.44
  4. Step 4: Simplify right side
    232,907.38x = 42,063,967,879.37
  5. Step 5: Solve for x
    x = 42,063,967,879.37/232,907.38
  6. Step 6: Final answer
    x = 180,603.84

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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.