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Finding the Fourth Proportional to 201,007.12, 301,116.60 and 116,589.94

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Solution

The fourth proportional to 201,007.12, 301,116.60 and 116,589.94 is: 174,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,007.12 : 301,116.60 = 116,589.94 : x
  2. Step 2: Convert to fraction form
    201,007.12/301,116.60 = 116,589.94/x
  3. Step 3: Cross multiply
    201,007.12x = 301,116.60 × 116,589.94
  4. Step 4: Simplify right side
    201,007.12x = 35,107,166,327.00
  5. Step 5: Solve for x
    x = 35,107,166,327.00/201,007.12
  6. Step 6: Final answer
    x = 174,656.33

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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.