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Finding the Fourth Proportional to 195,886.56, 293,829.84 and 55,626.96

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Solution

The fourth proportional to 195,886.56, 293,829.84 and 55,626.96 is: 83,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,886.56 : 293,829.84 = 55,626.96 : x
  2. Step 2: Convert to fraction form
    195,886.56/293,829.84 = 55,626.96/x
  3. Step 3: Cross multiply
    195,886.56x = 293,829.84 × 55,626.96
  4. Step 4: Simplify right side
    195,886.56x = 16,344,860,756.49
  5. Step 5: Solve for x
    x = 16,344,860,756.49/195,886.56
  6. Step 6: Final answer
    x = 83,440.44

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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.