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Finding the Fourth Proportional to 273,537.20, 410,267.40 and 86,567.60

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Solution

The fourth proportional to 273,537.20, 410,267.40 and 86,567.60 is: 129,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,537.20 : 410,267.40 = 86,567.60 : x
  2. Step 2: Convert to fraction form
    273,537.20/410,267.40 = 86,567.60/x
  3. Step 3: Cross multiply
    273,537.20x = 410,267.40 × 86,567.60
  4. Step 4: Simplify right side
    273,537.20x = 35,515,864,176.24
  5. Step 5: Solve for x
    x = 35,515,864,176.24/273,537.20
  6. Step 6: Final answer
    x = 129,839.25

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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.