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Finding the Fourth Proportional to 180,191.88, 270,312.62 and 61,847.82

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Solution

The fourth proportional to 180,191.88, 270,312.62 and 61,847.82 is: 92,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,191.88 : 270,312.62 = 61,847.82 : x
  2. Step 2: Convert to fraction form
    180,191.88/270,312.62 = 61,847.82/x
  3. Step 3: Cross multiply
    180,191.88x = 270,312.62 × 61,847.82
  4. Step 4: Simplify right side
    180,191.88x = 16,718,245,956.25
  5. Step 5: Solve for x
    x = 16,718,245,956.25/180,191.88
  6. Step 6: Final answer
    x = 92,780.24

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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.