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Finding the Fourth Proportional to 205,123.20, 307,684.80 and 185,440.20

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Solution

The fourth proportional to 205,123.20, 307,684.80 and 185,440.20 is: 278,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,123.20 : 307,684.80 = 185,440.20 : x
  2. Step 2: Convert to fraction form
    205,123.20/307,684.80 = 185,440.20/x
  3. Step 3: Cross multiply
    205,123.20x = 307,684.80 × 185,440.20
  4. Step 4: Simplify right side
    205,123.20x = 57,057,130,848.96
  5. Step 5: Solve for x
    x = 57,057,130,848.96/205,123.20
  6. Step 6: Final answer
    x = 278,160.30

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