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Finding the Fourth Proportional to 180,069.66, 270,056.97 and 53,675.82

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Solution

The fourth proportional to 180,069.66, 270,056.97 and 53,675.82 is: 80,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,069.66 : 270,056.97 = 53,675.82 : x
  2. Step 2: Convert to fraction form
    180,069.66/270,056.97 = 53,675.82/x
  3. Step 3: Cross multiply
    180,069.66x = 270,056.97 × 53,675.82
  4. Step 4: Simplify right side
    180,069.66x = 14,495,529,311.47
  5. Step 5: Solve for x
    x = 14,495,529,311.47/180,069.66
  6. Step 6: Final answer
    x = 80,499.57

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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.