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Finding the Fourth Proportional to 200,770.64, 300,693.60 and 116,321.12

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Solution

The fourth proportional to 200,770.64, 300,693.60 and 116,321.12 is: 174,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770.64 : 300,693.60 = 116,321.12 : x
  2. Step 2: Convert to fraction form
    200,770.64/300,693.60 = 116,321.12/x
  3. Step 3: Cross multiply
    200,770.64x = 300,693.60 × 116,321.12
  4. Step 4: Simplify right side
    200,770.64x = 34,977,016,328.83
  5. Step 5: Solve for x
    x = 34,977,016,328.83/200,770.64
  6. Step 6: Final answer
    x = 174,213.80

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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.