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Finding the Fourth Proportional to 256,851.24, 385,214.54 and 107,009.78

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Solution

The fourth proportional to 256,851.24, 385,214.54 and 107,009.78 is: 160,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,851.24 : 385,214.54 = 107,009.78 : x
  2. Step 2: Convert to fraction form
    256,851.24/385,214.54 = 107,009.78/x
  3. Step 3: Cross multiply
    256,851.24x = 385,214.54 × 107,009.78
  4. Step 4: Simplify right side
    256,851.24x = 41,221,720,717.08
  5. Step 5: Solve for x
    x = 41,221,720,717.08/256,851.24
  6. Step 6: Final answer
    x = 160,488.70

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