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Finding the Fourth Proportional to 205,563.10, 308,344.65 and 197,689.90

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Solution

The fourth proportional to 205,563.10, 308,344.65 and 197,689.90 is: 296,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,563.10 : 308,344.65 = 197,689.90 : x
  2. Step 2: Convert to fraction form
    205,563.10/308,344.65 = 197,689.90/x
  3. Step 3: Cross multiply
    205,563.10x = 308,344.65 × 197,689.90
  4. Step 4: Simplify right side
    205,563.10x = 60,956,623,024.04
  5. Step 5: Solve for x
    x = 60,956,623,024.04/205,563.10
  6. Step 6: Final answer
    x = 296,534.85

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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.