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Finding the Fourth Proportional to 326,818.91, 490,228.74 and 102,180.52

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Solution

The fourth proportional to 326,818.91, 490,228.74 and 102,180.52 is: 153,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,818.91 : 490,228.74 = 102,180.52 : x
  2. Step 2: Convert to fraction form
    326,818.91/490,228.74 = 102,180.52/x
  3. Step 3: Cross multiply
    326,818.91x = 490,228.74 × 102,180.52
  4. Step 4: Simplify right side
    326,818.91x = 50,091,826,729.75
  5. Step 5: Solve for x
    x = 50,091,826,729.75/326,818.91
  6. Step 6: Final answer
    x = 153,270.90

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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.