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Finding the Fourth Proportional to 194,323.88, 268,234.05 and 113,777.28

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Solution

The fourth proportional to 194,323.88, 268,234.05 and 113,777.28 is: 157,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,323.88 : 268,234.05 = 113,777.28 : x
  2. Step 2: Convert to fraction form
    194,323.88/268,234.05 = 113,777.28/x
  3. Step 3: Cross multiply
    194,323.88x = 268,234.05 × 113,777.28
  4. Step 4: Simplify right side
    194,323.88x = 30,518,940,612.38
  5. Step 5: Solve for x
    x = 30,518,940,612.38/194,323.88
  6. Step 6: Final answer
    x = 157,051.94

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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.