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Finding the Fourth Proportional to 256,127.22, 384,107.76 and 85,303.44

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Solution

The fourth proportional to 256,127.22, 384,107.76 and 85,303.44 is: 127,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,127.22 : 384,107.76 = 85,303.44 : x
  2. Step 2: Convert to fraction form
    256,127.22/384,107.76 = 85,303.44/x
  3. Step 3: Cross multiply
    256,127.22x = 384,107.76 × 85,303.44
  4. Step 4: Simplify right side
    256,127.22x = 32,765,713,258.69
  5. Step 5: Solve for x
    x = 32,765,713,258.69/256,127.22
  6. Step 6: Final answer
    x = 127,927.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.