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Finding the Fourth Proportional to 181,577.70, 272,368.47 and 55,238.52

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Solution

The fourth proportional to 181,577.70, 272,368.47 and 55,238.52 is: 82,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,577.70 : 272,368.47 = 55,238.52 : x
  2. Step 2: Convert to fraction form
    181,577.70/272,368.47 = 55,238.52/x
  3. Step 3: Cross multiply
    181,577.70x = 272,368.47 × 55,238.52
  4. Step 4: Simplify right side
    181,577.70x = 15,045,231,177.46
  5. Step 5: Solve for x
    x = 15,045,231,177.46/181,577.70
  6. Step 6: Final answer
    x = 82,858.36

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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.