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Finding the Fourth Proportional to 203,420.84, 280,713.02 and 112,778.20

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Solution

The fourth proportional to 203,420.84, 280,713.02 and 112,778.20 is: 155,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,420.84 : 280,713.02 = 112,778.20 : x
  2. Step 2: Convert to fraction form
    203,420.84/280,713.02 = 112,778.20/x
  3. Step 3: Cross multiply
    203,420.84x = 280,713.02 × 112,778.20
  4. Step 4: Simplify right side
    203,420.84x = 31,658,309,112.16
  5. Step 5: Solve for x
    x = 31,658,309,112.16/203,420.84
  6. Step 6: Final answer
    x = 155,629.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.