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Finding the Fourth Proportional to 234,454.32, 323,527.82 and 137,647.98

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Solution

The fourth proportional to 234,454.32, 323,527.82 and 137,647.98 is: 189,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,454.32 : 323,527.82 = 137,647.98 : x
  2. Step 2: Convert to fraction form
    234,454.32/323,527.82 = 137,647.98/x
  3. Step 3: Cross multiply
    234,454.32x = 323,527.82 × 137,647.98
  4. Step 4: Simplify right side
    234,454.32x = 44,532,950,208.56
  5. Step 5: Solve for x
    x = 44,532,950,208.56/234,454.32
  6. Step 6: Final answer
    x = 189,942.97

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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.