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Finding the Fourth Proportional to 181,476.28, 272,214.42 and 56,827

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Solution

The fourth proportional to 181,476.28, 272,214.42 and 56,827 is: 85,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,476.28 : 272,214.42 = 56,827 : x
  2. Step 2: Convert to fraction form
    181,476.28/272,214.42 = 56,827/x
  3. Step 3: Cross multiply
    181,476.28x = 272,214.42 × 56,827
  4. Step 4: Simplify right side
    181,476.28x = 15,469,128,845.34
  5. Step 5: Solve for x
    x = 15,469,128,845.34/181,476.28
  6. Step 6: Final answer
    x = 85,240.50

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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.