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Finding the Fourth Proportional to 205,691.32, 284,001.08 and 160,419.88

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Solution

The fourth proportional to 205,691.32, 284,001.08 and 160,419.88 is: 221,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,691.32 : 284,001.08 = 160,419.88 : x
  2. Step 2: Convert to fraction form
    205,691.32/284,001.08 = 160,419.88/x
  3. Step 3: Cross multiply
    205,691.32x = 284,001.08 × 160,419.88
  4. Step 4: Simplify right side
    205,691.32x = 45,559,419,173.47
  5. Step 5: Solve for x
    x = 45,559,419,173.47/205,691.32
  6. Step 6: Final answer
    x = 221,494.13

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