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Finding the Fourth Proportional to 229,706.20, 343,781.70 and 201,712.60

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Solution

The fourth proportional to 229,706.20, 343,781.70 and 201,712.60 is: 301,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,706.20 : 343,781.70 = 201,712.60 : x
  2. Step 2: Convert to fraction form
    229,706.20/343,781.70 = 201,712.60/x
  3. Step 3: Cross multiply
    229,706.20x = 343,781.70 × 201,712.60
  4. Step 4: Simplify right side
    229,706.20x = 69,345,100,539.42
  5. Step 5: Solve for x
    x = 69,345,100,539.42/229,706.20
  6. Step 6: Final answer
    x = 301,886.06

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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.