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Finding the Fourth Proportional to 181,568.28, 272,352.42 and 56,919

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Solution

The fourth proportional to 181,568.28, 272,352.42 and 56,919 is: 85,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,568.28 : 272,352.42 = 56,919 : x
  2. Step 2: Convert to fraction form
    181,568.28/272,352.42 = 56,919/x
  3. Step 3: Cross multiply
    181,568.28x = 272,352.42 × 56,919
  4. Step 4: Simplify right side
    181,568.28x = 15,502,027,393.98
  5. Step 5: Solve for x
    x = 15,502,027,393.98/181,568.28
  6. Step 6: Final answer
    x = 85,378.50

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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.