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Finding the Fourth Proportional to 241,805.20, 362,780.70 and 129,539.20

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Solution

The fourth proportional to 241,805.20, 362,780.70 and 129,539.20 is: 194,347.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,805.20 : 362,780.70 = 129,539.20 : x
  2. Step 2: Convert to fraction form
    241,805.20/362,780.70 = 129,539.20/x
  3. Step 3: Cross multiply
    241,805.20x = 362,780.70 × 129,539.20
  4. Step 4: Simplify right side
    241,805.20x = 46,994,321,653.44
  5. Step 5: Solve for x
    x = 46,994,321,653.44/241,805.20
  6. Step 6: Final answer
    x = 194,347.85

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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.