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Finding the Fourth Proportional to 194,743.20, 273,427.80 and 194,743.20

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Solution

The fourth proportional to 194,743.20, 273,427.80 and 194,743.20 is: 273,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,743.20 : 273,427.80 = 194,743.20 : x
  2. Step 2: Convert to fraction form
    194,743.20/273,427.80 = 194,743.20/x
  3. Step 3: Cross multiply
    194,743.20x = 273,427.80 × 194,743.20
  4. Step 4: Simplify right side
    194,743.20x = 53,248,204,740.96
  5. Step 5: Solve for x
    x = 53,248,204,740.96/194,743.20
  6. Step 6: Final answer
    x = 273,427.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.