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Finding the Fourth Proportional to 178,415.76, 246,084.84 and 151,515.84

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Solution

The fourth proportional to 178,415.76, 246,084.84 and 151,515.84 is: 208,982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,415.76 : 246,084.84 = 151,515.84 : x
  2. Step 2: Convert to fraction form
    178,415.76/246,084.84 = 151,515.84/x
  3. Step 3: Cross multiply
    178,415.76x = 246,084.84 × 151,515.84
  4. Step 4: Simplify right side
    178,415.76x = 37,285,751,243.87
  5. Step 5: Solve for x
    x = 37,285,751,243.87/178,415.76
  6. Step 6: Final answer
    x = 208,982.39

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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.