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Finding the Fourth Proportional to 206,671.92, 285,210.36 and 199,520.40

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Solution

The fourth proportional to 206,671.92, 285,210.36 and 199,520.40 is: 275,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,671.92 : 285,210.36 = 199,520.40 : x
  2. Step 2: Convert to fraction form
    206,671.92/285,210.36 = 199,520.40/x
  3. Step 3: Cross multiply
    206,671.92x = 285,210.36 × 199,520.40
  4. Step 4: Simplify right side
    206,671.92x = 56,905,285,111.34
  5. Step 5: Solve for x
    x = 56,905,285,111.34/206,671.92
  6. Step 6: Final answer
    x = 275,341.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.