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Finding the Fourth Proportional to 361,750.20, 542,819.70 and 151,409.40

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Solution

The fourth proportional to 361,750.20, 542,819.70 and 151,409.40 is: 227,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,750.20 : 542,819.70 = 151,409.40 : x
  2. Step 2: Convert to fraction form
    361,750.20/542,819.70 = 151,409.40/x
  3. Step 3: Cross multiply
    361,750.20x = 542,819.70 × 151,409.40
  4. Step 4: Simplify right side
    361,750.20x = 82,188,005,085.18
  5. Step 5: Solve for x
    x = 82,188,005,085.18/361,750.20
  6. Step 6: Final answer
    x = 227,195.47

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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.