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Finding the Fourth Proportional to 198,628.80, 297,943.20 and 183,465.60

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Solution

The fourth proportional to 198,628.80, 297,943.20 and 183,465.60 is: 275,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,628.80 : 297,943.20 = 183,465.60 : x
  2. Step 2: Convert to fraction form
    198,628.80/297,943.20 = 183,465.60/x
  3. Step 3: Cross multiply
    198,628.80x = 297,943.20 × 183,465.60
  4. Step 4: Simplify right side
    198,628.80x = 54,662,327,953.92
  5. Step 5: Solve for x
    x = 54,662,327,953.92/198,628.80
  6. Step 6: Final answer
    x = 275,198.40

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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.