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Finding the Fourth Proportional to 181,407.55, 272,111.87 and 55,048.81

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Solution

The fourth proportional to 181,407.55, 272,111.87 and 55,048.81 is: 82,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,407.55 : 272,111.87 = 55,048.81 : x
  2. Step 2: Convert to fraction form
    181,407.55/272,111.87 = 55,048.81/x
  3. Step 3: Cross multiply
    181,407.55x = 272,111.87 × 55,048.81
  4. Step 4: Simplify right side
    181,407.55x = 14,979,434,630.37
  5. Step 5: Solve for x
    x = 14,979,434,630.37/181,407.55
  6. Step 6: Final answer
    x = 82,573.38

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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.