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Finding the Fourth Proportional to 229,075.74, 343,624.41 and 189,020.43

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Solution

The fourth proportional to 229,075.74, 343,624.41 and 189,020.43 is: 283,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,075.74 : 343,624.41 = 189,020.43 : x
  2. Step 2: Convert to fraction form
    229,075.74/343,624.41 = 189,020.43/x
  3. Step 3: Cross multiply
    229,075.74x = 343,624.41 × 189,020.43
  4. Step 4: Simplify right side
    229,075.74x = 64,952,033,736.70
  5. Step 5: Solve for x
    x = 64,952,033,736.70/229,075.74
  6. Step 6: Final answer
    x = 283,539.56

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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.