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Finding the Fourth Proportional to 194,723.84, 292,012.32 and 68,324.96

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Solution

The fourth proportional to 194,723.84, 292,012.32 and 68,324.96 is: 102,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,723.84 : 292,012.32 = 68,324.96 : x
  2. Step 2: Convert to fraction form
    194,723.84/292,012.32 = 68,324.96/x
  3. Step 3: Cross multiply
    194,723.84x = 292,012.32 × 68,324.96
  4. Step 4: Simplify right side
    194,723.84x = 19,951,730,083.51
  5. Step 5: Solve for x
    x = 19,951,730,083.51/194,723.84
  6. Step 6: Final answer
    x = 102,461.67

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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.