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Finding the Fourth Proportional to 181,713.75, 272,581.56 and 57,054.75

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Solution

The fourth proportional to 181,713.75, 272,581.56 and 57,054.75 is: 85,585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,713.75 : 272,581.56 = 57,054.75 : x
  2. Step 2: Convert to fraction form
    181,713.75/272,581.56 = 57,054.75/x
  3. Step 3: Cross multiply
    181,713.75x = 272,581.56 × 57,054.75
  4. Step 4: Simplify right side
    181,713.75x = 15,552,072,760.41
  5. Step 5: Solve for x
    x = 15,552,072,760.41/181,713.75
  6. Step 6: Final answer
    x = 85,585.56

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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.