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Finding the Fourth Proportional to 181,953.26, 272,971.43 and 55,611.48

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Solution

The fourth proportional to 181,953.26, 272,971.43 and 55,611.48 is: 83,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,953.26 : 272,971.43 = 55,611.48 : x
  2. Step 2: Convert to fraction form
    181,953.26/272,971.43 = 55,611.48/x
  3. Step 3: Cross multiply
    181,953.26x = 272,971.43 × 55,611.48
  4. Step 4: Simplify right side
    181,953.26x = 15,180,345,220.02
  5. Step 5: Solve for x
    x = 15,180,345,220.02/181,953.26
  6. Step 6: Final answer
    x = 83,429.92

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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.