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Finding the Fourth Proportional to 201,714.22, 302,604.14 and 59,573.86

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Solution

The fourth proportional to 201,714.22, 302,604.14 and 59,573.86 is: 89,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.22 : 302,604.14 = 59,573.86 : x
  2. Step 2: Convert to fraction form
    201,714.22/302,604.14 = 59,573.86/x
  3. Step 3: Cross multiply
    201,714.22x = 302,604.14 × 59,573.86
  4. Step 4: Simplify right side
    201,714.22x = 18,027,296,671.78
  5. Step 5: Solve for x
    x = 18,027,296,671.78/201,714.22
  6. Step 6: Final answer
    x = 89,370.48

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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.