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Finding the Fourth Proportional to 256,829.48, 384,923.34 and 123,685

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Solution

The fourth proportional to 256,829.48, 384,923.34 and 123,685 is: 185,372.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829.48 : 384,923.34 = 123,685 : x
  2. Step 2: Convert to fraction form
    256,829.48/384,923.34 = 123,685/x
  3. Step 3: Cross multiply
    256,829.48x = 384,923.34 × 123,685
  4. Step 4: Simplify right side
    256,829.48x = 47,609,243,307.90
  5. Step 5: Solve for x
    x = 47,609,243,307.90/256,829.48
  6. Step 6: Final answer
    x = 185,372.97

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