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Finding the Fourth Proportional to 232,003.40, 320,191.25 and 130,056.39

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Solution

The fourth proportional to 232,003.40, 320,191.25 and 130,056.39 is: 179,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.40 : 320,191.25 = 130,056.39 : x
  2. Step 2: Convert to fraction form
    232,003.40/320,191.25 = 130,056.39/x
  3. Step 3: Cross multiply
    232,003.40x = 320,191.25 × 130,056.39
  4. Step 4: Simplify right side
    232,003.40x = 41,642,917,434.31
  5. Step 5: Solve for x
    x = 41,642,917,434.31/232,003.40
  6. Step 6: Final answer
    x = 179,492.71

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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.