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Finding the Fourth Proportional to 178,678.49, 246,574.60 and 98,105.31

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Solution

The fourth proportional to 178,678.49, 246,574.60 and 98,105.31 is: 135,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,678.49 : 246,574.60 = 98,105.31 : x
  2. Step 2: Convert to fraction form
    178,678.49/246,574.60 = 98,105.31/x
  3. Step 3: Cross multiply
    178,678.49x = 246,574.60 × 98,105.31
  4. Step 4: Simplify right side
    178,678.49x = 24,190,277,325.86
  5. Step 5: Solve for x
    x = 24,190,277,325.86/178,678.49
  6. Step 6: Final answer
    x = 135,384.39

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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.