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Finding the Fourth Proportional to 205,052.31, 282,971.79 and 114,402.92

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Solution

The fourth proportional to 205,052.31, 282,971.79 and 114,402.92 is: 157,875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,052.31 : 282,971.79 = 114,402.92 : x
  2. Step 2: Convert to fraction form
    205,052.31/282,971.79 = 114,402.92/x
  3. Step 3: Cross multiply
    205,052.31x = 282,971.79 × 114,402.92
  4. Step 4: Simplify right side
    205,052.31x = 32,372,797,638.77
  5. Step 5: Solve for x
    x = 32,372,797,638.77/205,052.31
  6. Step 6: Final answer
    x = 157,875.80

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