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Finding the Fourth Proportional to 205,438.68, 307,733.52 and 120,938.46

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Solution

The fourth proportional to 205,438.68, 307,733.52 and 120,938.46 is: 181,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,438.68 : 307,733.52 = 120,938.46 : x
  2. Step 2: Convert to fraction form
    205,438.68/307,733.52 = 120,938.46/x
  3. Step 3: Cross multiply
    205,438.68x = 307,733.52 × 120,938.46
  4. Step 4: Simplify right side
    205,438.68x = 37,216,817,999.18
  5. Step 5: Solve for x
    x = 37,216,817,999.18/205,438.68
  6. Step 6: Final answer
    x = 181,157.79

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