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Finding the Fourth Proportional to 106,756.96, 159,824.32 and 102,713.44

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Solution

The fourth proportional to 106,756.96, 159,824.32 and 102,713.44 is: 153,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,756.96 : 159,824.32 = 102,713.44 : x
  2. Step 2: Convert to fraction form
    106,756.96/159,824.32 = 102,713.44/x
  3. Step 3: Cross multiply
    106,756.96x = 159,824.32 × 102,713.44
  4. Step 4: Simplify right side
    106,756.96x = 16,416,105,702.86
  5. Step 5: Solve for x
    x = 16,416,105,702.86/106,756.96
  6. Step 6: Final answer
    x = 153,770.82

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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.