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Finding the Fourth Proportional to 181,176.96, 271,713.60 and 56,484.48

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Solution

The fourth proportional to 181,176.96, 271,713.60 and 56,484.48 is: 84,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,176.96 : 271,713.60 = 56,484.48 : x
  2. Step 2: Convert to fraction form
    181,176.96/271,713.60 = 56,484.48/x
  3. Step 3: Cross multiply
    181,176.96x = 271,713.60 × 56,484.48
  4. Step 4: Simplify right side
    181,176.96x = 15,347,601,404.93
  5. Step 5: Solve for x
    x = 15,347,601,404.93/181,176.96
  6. Step 6: Final answer
    x = 84,710.56

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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.