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Finding the Fourth Proportional to 200,714.61, 301,071.92 and 67,583.72

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Solution

The fourth proportional to 200,714.61, 301,071.92 and 67,583.72 is: 101,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.61 : 301,071.92 = 67,583.72 : x
  2. Step 2: Convert to fraction form
    200,714.61/301,071.92 = 67,583.72/x
  3. Step 3: Cross multiply
    200,714.61x = 301,071.92 × 67,583.72
  4. Step 4: Simplify right side
    200,714.61x = 20,347,560,003.22
  5. Step 5: Solve for x
    x = 20,347,560,003.22/200,714.61
  6. Step 6: Final answer
    x = 101,375.58

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1.5x scale

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.