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Finding the Fourth Proportional to 198,221.63, 297,329.78 and 48,463.21

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Solution

The fourth proportional to 198,221.63, 297,329.78 and 48,463.21 is: 72,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,221.63 : 297,329.78 = 48,463.21 : x
  2. Step 2: Convert to fraction form
    198,221.63/297,329.78 = 48,463.21/x
  3. Step 3: Cross multiply
    198,221.63x = 297,329.78 × 48,463.21
  4. Step 4: Simplify right side
    198,221.63x = 14,409,554,080.74
  5. Step 5: Solve for x
    x = 14,409,554,080.74/198,221.63
  6. Step 6: Final answer
    x = 72,694.16

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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.