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Finding the Fourth Proportional to 223,825.40, 335,738.10 and 83,576.60

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Solution

The fourth proportional to 223,825.40, 335,738.10 and 83,576.60 is: 125,364.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,825.40 : 335,738.10 = 83,576.60 : x
  2. Step 2: Convert to fraction form
    223,825.40/335,738.10 = 83,576.60/x
  3. Step 3: Cross multiply
    223,825.40x = 335,738.10 × 83,576.60
  4. Step 4: Simplify right side
    223,825.40x = 28,059,848,888.46
  5. Step 5: Solve for x
    x = 28,059,848,888.46/223,825.40
  6. Step 6: Final answer
    x = 125,364.90

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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.