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Finding the Fourth Proportional to 264,209.25, 396,230.63 and 86,674.89

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Solution

The fourth proportional to 264,209.25, 396,230.63 and 86,674.89 is: 129,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,209.25 : 396,230.63 = 86,674.89 : x
  2. Step 2: Convert to fraction form
    264,209.25/396,230.63 = 86,674.89/x
  3. Step 3: Cross multiply
    264,209.25x = 396,230.63 × 86,674.89
  4. Step 4: Simplify right side
    264,209.25x = 34,343,245,836.51
  5. Step 5: Solve for x
    x = 34,343,245,836.51/264,209.25
  6. Step 6: Final answer
    x = 129,985.02

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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.