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Finding the Fourth Proportional to 194,608.56, 268,560.12 and 105,184.56

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Solution

The fourth proportional to 194,608.56, 268,560.12 and 105,184.56 is: 145,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,608.56 : 268,560.12 = 105,184.56 : x
  2. Step 2: Convert to fraction form
    194,608.56/268,560.12 = 105,184.56/x
  3. Step 3: Cross multiply
    194,608.56x = 268,560.12 × 105,184.56
  4. Step 4: Simplify right side
    194,608.56x = 28,248,378,055.75
  5. Step 5: Solve for x
    x = 28,248,378,055.75/194,608.56
  6. Step 6: Final answer
    x = 145,154.86

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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.