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Finding the Fourth Proportional to 181,596.28, 272,394.42 and 56,947

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Solution

The fourth proportional to 181,596.28, 272,394.42 and 56,947 is: 85,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,596.28 : 272,394.42 = 56,947 : x
  2. Step 2: Convert to fraction form
    181,596.28/272,394.42 = 56,947/x
  3. Step 3: Cross multiply
    181,596.28x = 272,394.42 × 56,947
  4. Step 4: Simplify right side
    181,596.28x = 15,512,045,035.74
  5. Step 5: Solve for x
    x = 15,512,045,035.74/181,596.28
  6. Step 6: Final answer
    x = 85,420.50

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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.