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Finding the Fourth Proportional to 181,324.35, 271,985.11 and 48,214.01

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Solution

The fourth proportional to 181,324.35, 271,985.11 and 48,214.01 is: 72,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,324.35 : 271,985.11 = 48,214.01 : x
  2. Step 2: Convert to fraction form
    181,324.35/271,985.11 = 48,214.01/x
  3. Step 3: Cross multiply
    181,324.35x = 271,985.11 × 48,214.01
  4. Step 4: Simplify right side
    181,324.35x = 13,113,493,372.82
  5. Step 5: Solve for x
    x = 13,113,493,372.82/181,324.35
  6. Step 6: Final answer
    x = 72,320.64

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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.