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Finding the Fourth Proportional to 361,714.68, 542,533.48 and 148,504.94

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Solution

The fourth proportional to 361,714.68, 542,533.48 and 148,504.94 is: 222,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,714.68 : 542,533.48 = 148,504.94 : x
  2. Step 2: Convert to fraction form
    361,714.68/542,533.48 = 148,504.94/x
  3. Step 3: Cross multiply
    361,714.68x = 542,533.48 × 148,504.94
  4. Step 4: Simplify right side
    361,714.68x = 80,568,901,895.39
  5. Step 5: Solve for x
    x = 80,568,901,895.39/361,714.68
  6. Step 6: Final answer
    x = 222,741.59

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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.