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Finding the Fourth Proportional to 181,174.71, 271,776.32 and 48,054.98

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Solution

The fourth proportional to 181,174.71, 271,776.32 and 48,054.98 is: 72,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,174.71 : 271,776.32 = 48,054.98 : x
  2. Step 2: Convert to fraction form
    181,174.71/271,776.32 = 48,054.98/x
  3. Step 3: Cross multiply
    181,174.71x = 271,776.32 × 48,054.98
  4. Step 4: Simplify right side
    181,174.71x = 13,060,204,983.01
  5. Step 5: Solve for x
    x = 13,060,204,983.01/181,174.71
  6. Step 6: Final answer
    x = 72,086.25

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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.