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Finding the Fourth Proportional to 181,157.68, 271,483.40 and 154,363.76

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Solution

The fourth proportional to 181,157.68, 271,483.40 and 154,363.76 is: 231,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,157.68 : 271,483.40 = 154,363.76 : x
  2. Step 2: Convert to fraction form
    181,157.68/271,483.40 = 154,363.76/x
  3. Step 3: Cross multiply
    181,157.68x = 271,483.40 × 154,363.76
  4. Step 4: Simplify right side
    181,157.68x = 41,907,198,401.58
  5. Step 5: Solve for x
    x = 41,907,198,401.58/181,157.68
  6. Step 6: Final answer
    x = 231,329.96

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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.