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Finding the Fourth Proportional to 232,228.59, 320,449.83 and 130,233.06

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Solution

The fourth proportional to 232,228.59, 320,449.83 and 130,233.06 is: 179,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,228.59 : 320,449.83 = 130,233.06 : x
  2. Step 2: Convert to fraction form
    232,228.59/320,449.83 = 130,233.06/x
  3. Step 3: Cross multiply
    232,228.59x = 320,449.83 × 130,233.06
  4. Step 4: Simplify right side
    232,228.59x = 41,733,161,937.38
  5. Step 5: Solve for x
    x = 41,733,161,937.38/232,228.59
  6. Step 6: Final answer
    x = 179,707.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.