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Finding the Fourth Proportional to 203,521.28, 280,844.16 and 114,080

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Solution

The fourth proportional to 203,521.28, 280,844.16 and 114,080 is: 157,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,521.28 : 280,844.16 = 114,080 : x
  2. Step 2: Convert to fraction form
    203,521.28/280,844.16 = 114,080/x
  3. Step 3: Cross multiply
    203,521.28x = 280,844.16 × 114,080
  4. Step 4: Simplify right side
    203,521.28x = 32,038,701,772.80
  5. Step 5: Solve for x
    x = 32,038,701,772.80/203,521.28
  6. Step 6: Final answer
    x = 157,421.88

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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.