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Finding the Fourth Proportional to 326,153.98, 450,141.69 and 198,903.39

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Solution

The fourth proportional to 326,153.98, 450,141.69 and 198,903.39 is: 274,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,153.98 : 450,141.69 = 198,903.39 : x
  2. Step 2: Convert to fraction form
    326,153.98/450,141.69 = 198,903.39/x
  3. Step 3: Cross multiply
    326,153.98x = 450,141.69 × 198,903.39
  4. Step 4: Simplify right side
    326,153.98x = 89,534,708,121.33
  5. Step 5: Solve for x
    x = 89,534,708,121.33/326,153.98
  6. Step 6: Final answer
    x = 274,516.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.