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Finding the Fourth Proportional to 188,570, 260,226.60 and 113,142.80

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Solution

The fourth proportional to 188,570, 260,226.60 and 113,142.80 is: 156,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,570 : 260,226.60 = 113,142.80 : x
  2. Step 2: Convert to fraction form
    188,570/260,226.60 = 113,142.80/x
  3. Step 3: Cross multiply
    188,570x = 260,226.60 × 113,142.80
  4. Step 4: Simplify right side
    188,570x = 29,442,766,158.48
  5. Step 5: Solve for x
    x = 29,442,766,158.48/188,570
  6. Step 6: Final answer
    x = 156,137.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.