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Finding the Fourth Proportional to 181,632, 272,458.23 and 55,276.35

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Solution

The fourth proportional to 181,632, 272,458.23 and 55,276.35 is: 82,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,632 : 272,458.23 = 55,276.35 : x
  2. Step 2: Convert to fraction form
    181,632/272,458.23 = 55,276.35/x
  3. Step 3: Cross multiply
    181,632x = 272,458.23 × 55,276.35
  4. Step 4: Simplify right side
    181,632x = 15,060,496,481.86
  5. Step 5: Solve for x
    x = 15,060,496,481.86/181,632
  6. Step 6: Final answer
    x = 82,917.64

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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.