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Finding the Fourth Proportional to 256,495.40, 384,762.42 and 76,566.60

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Solution

The fourth proportional to 256,495.40, 384,762.42 and 76,566.60 is: 114,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,495.40 : 384,762.42 = 76,566.60 : x
  2. Step 2: Convert to fraction form
    256,495.40/384,762.42 = 76,566.60/x
  3. Step 3: Cross multiply
    256,495.40x = 384,762.42 × 76,566.60
  4. Step 4: Simplify right side
    256,495.40x = 29,459,950,307.17
  5. Step 5: Solve for x
    x = 29,459,950,307.17/256,495.40
  6. Step 6: Final answer
    x = 114,855.67

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