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Finding the Fourth Proportional to 194,589.56, 268,533.48 and 105,165.56

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Solution

The fourth proportional to 194,589.56, 268,533.48 and 105,165.56 is: 145,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,589.56 : 268,533.48 = 105,165.56 : x
  2. Step 2: Convert to fraction form
    194,589.56/268,533.48 = 105,165.56/x
  3. Step 3: Cross multiply
    194,589.56x = 268,533.48 × 105,165.56
  4. Step 4: Simplify right side
    194,589.56x = 28,240,473,802.95
  5. Step 5: Solve for x
    x = 28,240,473,802.95/194,589.56
  6. Step 6: Final answer
    x = 145,128.41

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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.