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Finding the Fourth Proportional to 194,729.60, 292,324.80 and 193,347.20

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Solution

The fourth proportional to 194,729.60, 292,324.80 and 193,347.20 is: 290,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,729.60 : 292,324.80 = 193,347.20 : x
  2. Step 2: Convert to fraction form
    194,729.60/292,324.80 = 193,347.20/x
  3. Step 3: Cross multiply
    194,729.60x = 292,324.80 × 193,347.20
  4. Step 4: Simplify right side
    194,729.60x = 56,520,181,570.56
  5. Step 5: Solve for x
    x = 56,520,181,570.56/194,729.60
  6. Step 6: Final answer
    x = 290,249.56

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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.