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Finding the Fourth Proportional to 232,194.57, 320,463.53 and 141,603.08

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Solution

The fourth proportional to 232,194.57, 320,463.53 and 141,603.08 is: 195,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,194.57 : 320,463.53 = 141,603.08 : x
  2. Step 2: Convert to fraction form
    232,194.57/320,463.53 = 141,603.08/x
  3. Step 3: Cross multiply
    232,194.57x = 320,463.53 × 141,603.08
  4. Step 4: Simplify right side
    232,194.57x = 45,378,623,322.82
  5. Step 5: Solve for x
    x = 45,378,623,322.82/232,194.57
  6. Step 6: Final answer
    x = 195,433.61

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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.