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Finding the Fourth Proportional to 232,052.08, 320,224.32 and 136,564

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Solution

The fourth proportional to 232,052.08, 320,224.32 and 136,564 is: 188,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,052.08 : 320,224.32 = 136,564 : x
  2. Step 2: Convert to fraction form
    232,052.08/320,224.32 = 136,564/x
  3. Step 3: Cross multiply
    232,052.08x = 320,224.32 × 136,564
  4. Step 4: Simplify right side
    232,052.08x = 43,731,114,036.48
  5. Step 5: Solve for x
    x = 43,731,114,036.48/232,052.08
  6. Step 6: Final answer
    x = 188,453.88

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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.