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Finding the Fourth Proportional to 223,674.19, 308,568.67 and 132,978.69

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Solution

The fourth proportional to 223,674.19, 308,568.67 and 132,978.69 is: 183,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,674.19 : 308,568.67 = 132,978.69 : x
  2. Step 2: Convert to fraction form
    223,674.19/308,568.67 = 132,978.69/x
  3. Step 3: Cross multiply
    223,674.19x = 308,568.67 × 132,978.69
  4. Step 4: Simplify right side
    223,674.19x = 41,033,057,511.64
  5. Step 5: Solve for x
    x = 41,033,057,511.64/223,674.19
  6. Step 6: Final answer
    x = 183,450.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.