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Finding the Fourth Proportional to 232,051.16, 320,224.38 and 136,563.48

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Solution

The fourth proportional to 232,051.16, 320,224.38 and 136,563.48 is: 188,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,051.16 : 320,224.38 = 136,563.48 : x
  2. Step 2: Convert to fraction form
    232,051.16/320,224.38 = 136,563.48/x
  3. Step 3: Cross multiply
    232,051.16x = 320,224.38 × 136,563.48
  4. Step 4: Simplify right side
    232,051.16x = 43,730,955,713.64
  5. Step 5: Solve for x
    x = 43,730,955,713.64/232,051.16
  6. Step 6: Final answer
    x = 188,453.94

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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.