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Finding the Fourth Proportional to 201,306.78, 301,772.43 and 68,094.36

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Solution

The fourth proportional to 201,306.78, 301,772.43 and 68,094.36 is: 102,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,306.78 : 301,772.43 = 68,094.36 : x
  2. Step 2: Convert to fraction form
    201,306.78/301,772.43 = 68,094.36/x
  3. Step 3: Cross multiply
    201,306.78x = 301,772.43 × 68,094.36
  4. Step 4: Simplify right side
    201,306.78x = 20,549,000,486.49
  5. Step 5: Solve for x
    x = 20,549,000,486.49/201,306.78
  6. Step 6: Final answer
    x = 102,078.03

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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.