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Finding the Fourth Proportional to 361,873.80, 542,812.11 and 151,364.07

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Solution

The fourth proportional to 361,873.80, 542,812.11 and 151,364.07 is: 227,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,873.80 : 542,812.11 = 151,364.07 : x
  2. Step 2: Convert to fraction form
    361,873.80/542,812.11 = 151,364.07/x
  3. Step 3: Cross multiply
    361,873.80x = 542,812.11 × 151,364.07
  4. Step 4: Simplify right side
    361,873.80x = 82,162,250,214.89
  5. Step 5: Solve for x
    x = 82,162,250,214.89/361,873.80
  6. Step 6: Final answer
    x = 227,046.69

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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.