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Finding the Fourth Proportional to 213,194.56, 319,736.08 and 63,394.48

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Solution

The fourth proportional to 213,194.56, 319,736.08 and 63,394.48 is: 95,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,194.56 : 319,736.08 = 63,394.48 : x
  2. Step 2: Convert to fraction form
    213,194.56/319,736.08 = 63,394.48/x
  3. Step 3: Cross multiply
    213,194.56x = 319,736.08 × 63,394.48
  4. Step 4: Simplify right side
    213,194.56x = 20,269,502,528.84
  5. Step 5: Solve for x
    x = 20,269,502,528.84/213,194.56
  6. Step 6: Final answer
    x = 95,075.14

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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.