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Finding the Fourth Proportional to 309,883.98, 465,022.59 and 132,392.33

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Solution

The fourth proportional to 309,883.98, 465,022.59 and 132,392.33 is: 198,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,883.98 : 465,022.59 = 132,392.33 : x
  2. Step 2: Convert to fraction form
    309,883.98/465,022.59 = 132,392.33/x
  3. Step 3: Cross multiply
    309,883.98x = 465,022.59 × 132,392.33
  4. Step 4: Simplify right side
    309,883.98x = 61,565,421,867.62
  5. Step 5: Solve for x
    x = 61,565,421,867.62/309,883.98
  6. Step 6: Final answer
    x = 198,672.49

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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.