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Finding the Fourth Proportional to 181,512.96, 272,308.32 and 76,271.28

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Solution

The fourth proportional to 181,512.96, 272,308.32 and 76,271.28 is: 114,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,512.96 : 272,308.32 = 76,271.28 : x
  2. Step 2: Convert to fraction form
    181,512.96/272,308.32 = 76,271.28/x
  3. Step 3: Cross multiply
    181,512.96x = 272,308.32 × 76,271.28
  4. Step 4: Simplify right side
    181,512.96x = 20,769,304,121.05
  5. Step 5: Solve for x
    x = 20,769,304,121.05/181,512.96
  6. Step 6: Final answer
    x = 114,423.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.