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Finding the Fourth Proportional to 365,701.86, 548,152.24 and 188,218.58

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Solution

The fourth proportional to 365,701.86, 548,152.24 and 188,218.58 is: 282,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,701.86 : 548,152.24 = 188,218.58 : x
  2. Step 2: Convert to fraction form
    365,701.86/548,152.24 = 188,218.58/x
  3. Step 3: Cross multiply
    365,701.86x = 548,152.24 × 188,218.58
  4. Step 4: Simplify right side
    365,701.86x = 103,172,436,236.62
  5. Step 5: Solve for x
    x = 103,172,436,236.62/365,701.86
  6. Step 6: Final answer
    x = 282,121.72

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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.