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Finding the Fourth Proportional to 178,000, 245,640.72 and 98,512

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Solution

The fourth proportional to 178,000, 245,640.72 and 98,512 is: 135,946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,000 : 245,640.72 = 98,512 : x
  2. Step 2: Convert to fraction form
    178,000/245,640.72 = 98,512/x
  3. Step 3: Cross multiply
    178,000x = 245,640.72 × 98,512
  4. Step 4: Simplify right side
    178,000x = 24,198,558,608.64
  5. Step 5: Solve for x
    x = 24,198,558,608.64/178,000
  6. Step 6: Final answer
    x = 135,946.96

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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.