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Finding the Fourth Proportional to 309,884.98, 465,024.09 and 132,393.33

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Solution

The fourth proportional to 309,884.98, 465,024.09 and 132,393.33 is: 198,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,884.98 : 465,024.09 = 132,393.33 : x
  2. Step 2: Convert to fraction form
    309,884.98/465,024.09 = 132,393.33/x
  3. Step 3: Cross multiply
    309,884.98x = 465,024.09 × 132,393.33
  4. Step 4: Simplify right side
    309,884.98x = 61,566,087,805.32
  5. Step 5: Solve for x
    x = 61,566,087,805.32/309,884.98
  6. Step 6: Final answer
    x = 198,674.00

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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.