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Finding the Fourth Proportional to 200,729.43, 301,094.38 and 67,598.54

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Solution

The fourth proportional to 200,729.43, 301,094.38 and 67,598.54 is: 101,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.43 : 301,094.38 = 67,598.54 : x
  2. Step 2: Convert to fraction form
    200,729.43/301,094.38 = 67,598.54/x
  3. Step 3: Cross multiply
    200,729.43x = 301,094.38 × 67,598.54
  4. Step 4: Simplify right side
    200,729.43x = 20,353,540,490.21
  5. Step 5: Solve for x
    x = 20,353,540,490.21/200,729.43
  6. Step 6: Final answer
    x = 101,397.89

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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.