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Finding the Fourth Proportional to 198,290.63, 297,451.53 and 56,133.60

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Solution

The fourth proportional to 198,290.63, 297,451.53 and 56,133.60 is: 84,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,290.63 : 297,451.53 = 56,133.60 : x
  2. Step 2: Convert to fraction form
    198,290.63/297,451.53 = 56,133.60/x
  3. Step 3: Cross multiply
    198,290.63x = 297,451.53 × 56,133.60
  4. Step 4: Simplify right side
    198,290.63x = 16,697,025,204.41
  5. Step 5: Solve for x
    x = 16,697,025,204.41/198,290.63
  6. Step 6: Final answer
    x = 84,204.81

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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.