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Finding the Fourth Proportional to 213,284.84, 319,551.42 and 190,118.12

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Solution

The fourth proportional to 213,284.84, 319,551.42 and 190,118.12 is: 284,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,284.84 : 319,551.42 = 190,118.12 : x
  2. Step 2: Convert to fraction form
    213,284.84/319,551.42 = 190,118.12/x
  3. Step 3: Cross multiply
    213,284.84x = 319,551.42 × 190,118.12
  4. Step 4: Simplify right side
    213,284.84x = 60,752,515,213.73
  5. Step 5: Solve for x
    x = 60,752,515,213.73/213,284.84
  6. Step 6: Final answer
    x = 284,842.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.