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Finding the Fourth Proportional to 232,025, 320,348.94 and 178,214

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Solution

The fourth proportional to 232,025, 320,348.94 and 178,214 is: 246,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,025 : 320,348.94 = 178,214 : x
  2. Step 2: Convert to fraction form
    232,025/320,348.94 = 178,214/x
  3. Step 3: Cross multiply
    232,025x = 320,348.94 × 178,214
  4. Step 4: Simplify right side
    232,025x = 57,090,665,993.16
  5. Step 5: Solve for x
    x = 57,090,665,993.16/232,025
  6. Step 6: Final answer
    x = 246,053.94

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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.