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Finding the Fourth Proportional to 198,665.74, 297,996.09 and 48,907.90

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Solution

The fourth proportional to 198,665.74, 297,996.09 and 48,907.90 is: 73,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,665.74 : 297,996.09 = 48,907.90 : x
  2. Step 2: Convert to fraction form
    198,665.74/297,996.09 = 48,907.90/x
  3. Step 3: Cross multiply
    198,665.74x = 297,996.09 × 48,907.90
  4. Step 4: Simplify right side
    198,665.74x = 14,574,362,970.11
  5. Step 5: Solve for x
    x = 14,574,362,970.11/198,665.74
  6. Step 6: Final answer
    x = 73,361.23

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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.