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Finding the Fourth Proportional to 206,474.60, 310,403.10 and 176,061.80

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Solution

The fourth proportional to 206,474.60, 310,403.10 and 176,061.80 is: 264,682.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,474.60 : 310,403.10 = 176,061.80 : x
  2. Step 2: Convert to fraction form
    206,474.60/310,403.10 = 176,061.80/x
  3. Step 3: Cross multiply
    206,474.60x = 310,403.10 × 176,061.80
  4. Step 4: Simplify right side
    206,474.60x = 54,650,128,511.58
  5. Step 5: Solve for x
    x = 54,650,128,511.58/206,474.60
  6. Step 6: Final answer
    x = 264,682.09

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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.