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Finding the Fourth Proportional to 178,891.84, 268,370.16 and 73,653.40

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Solution

The fourth proportional to 178,891.84, 268,370.16 and 73,653.40 is: 110,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891.84 : 268,370.16 = 73,653.40 : x
  2. Step 2: Convert to fraction form
    178,891.84/268,370.16 = 73,653.40/x
  3. Step 3: Cross multiply
    178,891.84x = 268,370.16 × 73,653.40
  4. Step 4: Simplify right side
    178,891.84x = 19,766,374,742.54
  5. Step 5: Solve for x
    x = 19,766,374,742.54/178,891.84
  6. Step 6: Final answer
    x = 110,493.44

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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.