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Finding the Fourth Proportional to 181,378.40, 272,359.20 and 131,806.40

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Solution

The fourth proportional to 181,378.40, 272,359.20 and 131,806.40 is: 197,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,378.40 : 272,359.20 = 131,806.40 : x
  2. Step 2: Convert to fraction form
    181,378.40/272,359.20 = 131,806.40/x
  3. Step 3: Cross multiply
    181,378.40x = 272,359.20 × 131,806.40
  4. Step 4: Simplify right side
    181,378.40x = 35,898,685,658.88
  5. Step 5: Solve for x
    x = 35,898,685,658.88/181,378.40
  6. Step 6: Final answer
    x = 197,921.50

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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.