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Finding the Fourth Proportional to 180,500.52, 270,999.22 and 91,813.98

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Solution

The fourth proportional to 180,500.52, 270,999.22 and 91,813.98 is: 137,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,500.52 : 270,999.22 = 91,813.98 : x
  2. Step 2: Convert to fraction form
    180,500.52/270,999.22 = 91,813.98/x
  3. Step 3: Cross multiply
    180,500.52x = 270,999.22 × 91,813.98
  4. Step 4: Simplify right side
    180,500.52x = 24,881,516,965.10
  5. Step 5: Solve for x
    x = 24,881,516,965.10/180,500.52
  6. Step 6: Final answer
    x = 137,847.34

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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.