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Finding the Fourth Proportional to 192,113.56, 288,193.32 and 58,976.32

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Solution

The fourth proportional to 192,113.56, 288,193.32 and 58,976.32 is: 88,471.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,113.56 : 288,193.32 = 58,976.32 : x
  2. Step 2: Convert to fraction form
    192,113.56/288,193.32 = 58,976.32/x
  3. Step 3: Cross multiply
    192,113.56x = 288,193.32 × 58,976.32
  4. Step 4: Simplify right side
    192,113.56x = 16,996,581,462.18
  5. Step 5: Solve for x
    x = 16,996,581,462.18/192,113.56
  6. Step 6: Final answer
    x = 88,471.53

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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.