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Finding the Fourth Proportional to 185,847.36, 278,615.40 and 129,522.24

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Solution

The fourth proportional to 185,847.36, 278,615.40 and 129,522.24 is: 194,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,847.36 : 278,615.40 = 129,522.24 : x
  2. Step 2: Convert to fraction form
    185,847.36/278,615.40 = 129,522.24/x
  3. Step 3: Cross multiply
    185,847.36x = 278,615.40 × 129,522.24
  4. Step 4: Simplify right side
    185,847.36x = 36,086,890,706.50
  5. Step 5: Solve for x
    x = 36,086,890,706.50/185,847.36
  6. Step 6: Final answer
    x = 194,174.89

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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.