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Finding the Fourth Proportional to 206,957.44, 310,620.48 and 96,211.84

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Solution

The fourth proportional to 206,957.44, 310,620.48 and 96,211.84 is: 144,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957.44 : 310,620.48 = 96,211.84 : x
  2. Step 2: Convert to fraction form
    206,957.44/310,620.48 = 96,211.84/x
  3. Step 3: Cross multiply
    206,957.44x = 310,620.48 × 96,211.84
  4. Step 4: Simplify right side
    206,957.44x = 29,885,367,922.48
  5. Step 5: Solve for x
    x = 29,885,367,922.48/206,957.44
  6. Step 6: Final answer
    x = 144,403.45

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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.