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Finding the Fourth Proportional to 232,558.29, 320,980.42 and 141,894.79

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Solution

The fourth proportional to 232,558.29, 320,980.42 and 141,894.79 is: 195,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,558.29 : 320,980.42 = 141,894.79 : x
  2. Step 2: Convert to fraction form
    232,558.29/320,980.42 = 141,894.79/x
  3. Step 3: Cross multiply
    232,558.29x = 320,980.42 × 141,894.79
  4. Step 4: Simplify right side
    232,558.29x = 45,545,448,664.93
  5. Step 5: Solve for x
    x = 45,545,448,664.93/232,558.29
  6. Step 6: Final answer
    x = 195,845.30

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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.