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Finding the Fourth Proportional to 256,041.60, 384,091.20 and 78,547.20

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Solution

The fourth proportional to 256,041.60, 384,091.20 and 78,547.20 is: 117,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041.60 : 384,091.20 = 78,547.20 : x
  2. Step 2: Convert to fraction form
    256,041.60/384,091.20 = 78,547.20/x
  3. Step 3: Cross multiply
    256,041.60x = 384,091.20 × 78,547.20
  4. Step 4: Simplify right side
    256,041.60x = 30,169,288,304.64
  5. Step 5: Solve for x
    x = 30,169,288,304.64/256,041.60
  6. Step 6: Final answer
    x = 117,829.64

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