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Finding the Fourth Proportional to 129,294.50, 193,949.91 and 45,051.26

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Solution

The fourth proportional to 129,294.50, 193,949.91 and 45,051.26 is: 67,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,294.50 : 193,949.91 = 45,051.26 : x
  2. Step 2: Convert to fraction form
    129,294.50/193,949.91 = 45,051.26/x
  3. Step 3: Cross multiply
    129,294.50x = 193,949.91 × 45,051.26
  4. Step 4: Simplify right side
    129,294.50x = 8,737,686,852.64
  5. Step 5: Solve for x
    x = 8,737,686,852.64/129,294.50
  6. Step 6: Final answer
    x = 67,579.73

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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.