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Finding the Fourth Proportional to 201,086.20, 301,370.10 and 122,116.60

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Solution

The fourth proportional to 201,086.20, 301,370.10 and 122,116.60 is: 183,017.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,086.20 : 301,370.10 = 122,116.60 : x
  2. Step 2: Convert to fraction form
    201,086.20/301,370.10 = 122,116.60/x
  3. Step 3: Cross multiply
    201,086.20x = 301,370.10 × 122,116.60
  4. Step 4: Simplify right side
    201,086.20x = 36,802,291,953.66
  5. Step 5: Solve for x
    x = 36,802,291,953.66/201,086.20
  6. Step 6: Final answer
    x = 183,017.49

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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.