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Finding the Fourth Proportional to 181,857.46, 272,829.12 and 57,198.46

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Solution

The fourth proportional to 181,857.46, 272,829.12 and 57,198.46 is: 85,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,857.46 : 272,829.12 = 57,198.46 : x
  2. Step 2: Convert to fraction form
    181,857.46/272,829.12 = 57,198.46/x
  3. Step 3: Cross multiply
    181,857.46x = 272,829.12 × 57,198.46
  4. Step 4: Simplify right side
    181,857.46x = 15,605,405,507.16
  5. Step 5: Solve for x
    x = 15,605,405,507.16/181,857.46
  6. Step 6: Final answer
    x = 85,811.19

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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.