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Finding the Fourth Proportional to 181,709.56, 272,575.88 and 57,055.48

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Solution

The fourth proportional to 181,709.56, 272,575.88 and 57,055.48 is: 85,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,709.56 : 272,575.88 = 57,055.48 : x
  2. Step 2: Convert to fraction form
    181,709.56/272,575.88 = 57,055.48/x
  3. Step 3: Cross multiply
    181,709.56x = 272,575.88 × 57,055.48
  4. Step 4: Simplify right side
    181,709.56x = 15,551,947,669.82
  5. Step 5: Solve for x
    x = 15,551,947,669.82/181,709.56
  6. Step 6: Final answer
    x = 85,586.84

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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.