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Finding the Fourth Proportional to 213,474.84, 320,230.50 and 63,705.48

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Solution

The fourth proportional to 213,474.84, 320,230.50 and 63,705.48 is: 95,563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,474.84 : 320,230.50 = 63,705.48 : x
  2. Step 2: Convert to fraction form
    213,474.84/320,230.50 = 63,705.48/x
  3. Step 3: Cross multiply
    213,474.84x = 320,230.50 × 63,705.48
  4. Step 4: Simplify right side
    213,474.84x = 20,400,437,713.14
  5. Step 5: Solve for x
    x = 20,400,437,713.14/213,474.84
  6. Step 6: Final answer
    x = 95,563.66

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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.