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Finding the Fourth Proportional to 232,197.44, 320,356.32 and 130,208

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Solution

The fourth proportional to 232,197.44, 320,356.32 and 130,208 is: 179,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,197.44 : 320,356.32 = 130,208 : x
  2. Step 2: Convert to fraction form
    232,197.44/320,356.32 = 130,208/x
  3. Step 3: Cross multiply
    232,197.44x = 320,356.32 × 130,208
  4. Step 4: Simplify right side
    232,197.44x = 41,712,955,714.56
  5. Step 5: Solve for x
    x = 41,712,955,714.56/232,197.44
  6. Step 6: Final answer
    x = 179,644.34

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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.