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Finding the Fourth Proportional to 255,573.44, 383,364.16 and 75,677.12

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Solution

The fourth proportional to 255,573.44, 383,364.16 and 75,677.12 is: 113,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,573.44 : 383,364.16 = 75,677.12 : x
  2. Step 2: Convert to fraction form
    255,573.44/383,364.16 = 75,677.12/x
  3. Step 3: Cross multiply
    255,573.44x = 383,364.16 × 75,677.12
  4. Step 4: Simplify right side
    255,573.44x = 29,011,895,540.02
  5. Step 5: Solve for x
    x = 29,011,895,540.02/255,573.44
  6. Step 6: Final answer
    x = 113,516.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.