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Finding the Fourth Proportional to 232,027, 320,351.70 and 178,216

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Solution

The fourth proportional to 232,027, 320,351.70 and 178,216 is: 246,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,027 : 320,351.70 = 178,216 : x
  2. Step 2: Convert to fraction form
    232,027/320,351.70 = 178,216/x
  3. Step 3: Cross multiply
    232,027x = 320,351.70 × 178,216
  4. Step 4: Simplify right side
    232,027x = 57,091,798,567.20
  5. Step 5: Solve for x
    x = 57,091,798,567.20/232,027
  6. Step 6: Final answer
    x = 246,056.70

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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.