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Finding the Fourth Proportional to 382,518.06, 573,747.90 and 133,200.06

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Solution

The fourth proportional to 382,518.06, 573,747.90 and 133,200.06 is: 199,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,518.06 : 573,747.90 = 133,200.06 : x
  2. Step 2: Convert to fraction form
    382,518.06/573,747.90 = 133,200.06/x
  3. Step 3: Cross multiply
    382,518.06x = 573,747.90 × 133,200.06
  4. Step 4: Simplify right side
    382,518.06x = 76,423,254,704.87
  5. Step 5: Solve for x
    x = 76,423,254,704.87/382,518.06
  6. Step 6: Final answer
    x = 199,789.93

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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.