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Finding the Fourth Proportional to 133,051.20, 199,576.80 and 39,544.80

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Solution

The fourth proportional to 133,051.20, 199,576.80 and 39,544.80 is: 59,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.20 : 199,576.80 = 39,544.80 : x
  2. Step 2: Convert to fraction form
    133,051.20/199,576.80 = 39,544.80/x
  3. Step 3: Cross multiply
    133,051.20x = 199,576.80 × 39,544.80
  4. Step 4: Simplify right side
    133,051.20x = 7,892,224,640.64
  5. Step 5: Solve for x
    x = 7,892,224,640.64/133,051.20
  6. Step 6: Final answer
    x = 59,317.20

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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.