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Finding the Fourth Proportional to 309,883.92, 465,022.46 and 132,392.26

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Solution

The fourth proportional to 309,883.92, 465,022.46 and 132,392.26 is: 198,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,883.92 : 465,022.46 = 132,392.26 : x
  2. Step 2: Convert to fraction form
    309,883.92/465,022.46 = 132,392.26/x
  3. Step 3: Cross multiply
    309,883.92x = 465,022.46 × 132,392.26
  4. Step 4: Simplify right side
    309,883.92x = 61,565,374,430.16
  5. Step 5: Solve for x
    x = 61,565,374,430.16/309,883.92
  6. Step 6: Final answer
    x = 198,672.38

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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.