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Finding the Fourth Proportional to 181,346.62, 271,989.54 and 48,228.78

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Solution

The fourth proportional to 181,346.62, 271,989.54 and 48,228.78 is: 72,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,346.62 : 271,989.54 = 48,228.78 : x
  2. Step 2: Convert to fraction form
    181,346.62/271,989.54 = 48,228.78/x
  3. Step 3: Cross multiply
    181,346.62x = 271,989.54 × 48,228.78
  4. Step 4: Simplify right side
    181,346.62x = 13,117,723,686.96
  5. Step 5: Solve for x
    x = 13,117,723,686.96/181,346.62
  6. Step 6: Final answer
    x = 72,335.09

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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.