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Finding the Fourth Proportional to 178,398.02, 246,195.78 and 97,828.94

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Solution

The fourth proportional to 178,398.02, 246,195.78 and 97,828.94 is: 135,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,398.02 : 246,195.78 = 97,828.94 : x
  2. Step 2: Convert to fraction form
    178,398.02/246,195.78 = 97,828.94/x
  3. Step 3: Cross multiply
    178,398.02x = 246,195.78 × 97,828.94
  4. Step 4: Simplify right side
    178,398.02x = 24,085,072,189.87
  5. Step 5: Solve for x
    x = 24,085,072,189.87/178,398.02
  6. Step 6: Final answer
    x = 135,007.51

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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.