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Finding the Fourth Proportional to 203,474.28, 280,779.30 and 114,033

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Solution

The fourth proportional to 203,474.28, 280,779.30 and 114,033 is: 157,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.28 : 280,779.30 = 114,033 : x
  2. Step 2: Convert to fraction form
    203,474.28/280,779.30 = 114,033/x
  3. Step 3: Cross multiply
    203,474.28x = 280,779.30 × 114,033
  4. Step 4: Simplify right side
    203,474.28x = 32,018,105,916.90
  5. Step 5: Solve for x
    x = 32,018,105,916.90/203,474.28
  6. Step 6: Final answer
    x = 157,357.02

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Why These Related Problems?

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