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Finding the Fourth Proportional to 194,123.92, 291,234.22 and 154,293.20

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Solution

The fourth proportional to 194,123.92, 291,234.22 and 154,293.20 is: 231,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,123.92 : 291,234.22 = 154,293.20 : x
  2. Step 2: Convert to fraction form
    194,123.92/291,234.22 = 154,293.20/x
  3. Step 3: Cross multiply
    194,123.92x = 291,234.22 × 154,293.20
  4. Step 4: Simplify right side
    194,123.92x = 44,935,459,753.30
  5. Step 5: Solve for x
    x = 44,935,459,753.30/194,123.92
  6. Step 6: Final answer
    x = 231,478.22

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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.