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Finding the Fourth Proportional to 203,702.64, 281,105.42 and 113,053.29

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Solution

The fourth proportional to 203,702.64, 281,105.42 and 113,053.29 is: 156,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,702.64 : 281,105.42 = 113,053.29 : x
  2. Step 2: Convert to fraction form
    203,702.64/281,105.42 = 113,053.29/x
  3. Step 3: Cross multiply
    203,702.64x = 281,105.42 × 113,053.29
  4. Step 4: Simplify right side
    203,702.64x = 31,779,892,002.57
  5. Step 5: Solve for x
    x = 31,779,892,002.57/203,702.64
  6. Step 6: Final answer
    x = 156,011.19

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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.