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Finding the Fourth Proportional to 263,761.44, 363,927.60 and 156,312.96

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Solution

The fourth proportional to 263,761.44, 363,927.60 and 156,312.96 is: 215,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,761.44 : 363,927.60 = 156,312.96 : x
  2. Step 2: Convert to fraction form
    263,761.44/363,927.60 = 156,312.96/x
  3. Step 3: Cross multiply
    263,761.44x = 363,927.60 × 156,312.96
  4. Step 4: Simplify right side
    263,761.44x = 56,886,600,381.70
  5. Step 5: Solve for x
    x = 56,886,600,381.70/263,761.44
  6. Step 6: Final answer
    x = 215,674.44

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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.