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Finding the Fourth Proportional to 203,233.66, 280,509.10 and 135,253.48

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Solution

The fourth proportional to 203,233.66, 280,509.10 and 135,253.48 is: 186,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,233.66 : 280,509.10 = 135,253.48 : x
  2. Step 2: Convert to fraction form
    203,233.66/280,509.10 = 135,253.48/x
  3. Step 3: Cross multiply
    203,233.66x = 280,509.10 × 135,253.48
  4. Step 4: Simplify right side
    203,233.66x = 37,939,831,946.67
  5. Step 5: Solve for x
    x = 37,939,831,946.67/203,233.66
  6. Step 6: Final answer
    x = 186,680.85

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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.