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Finding the Fourth Proportional to 232,402.60, 320,653.38 and 131,798.44

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Solution

The fourth proportional to 232,402.60, 320,653.38 and 131,798.44 is: 181,846.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,402.60 : 320,653.38 = 131,798.44 : x
  2. Step 2: Convert to fraction form
    232,402.60/320,653.38 = 131,798.44/x
  3. Step 3: Cross multiply
    232,402.60x = 320,653.38 × 131,798.44
  4. Step 4: Simplify right side
    232,402.60x = 42,261,615,264.73
  5. Step 5: Solve for x
    x = 42,261,615,264.73/232,402.60
  6. Step 6: Final answer
    x = 181,846.57

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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.