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Finding the Fourth Proportional to 264,559.79, 365,101.77 and 149,841.72

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Solution

The fourth proportional to 264,559.79, 365,101.77 and 149,841.72 is: 206,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,559.79 : 365,101.77 = 149,841.72 : x
  2. Step 2: Convert to fraction form
    264,559.79/365,101.77 = 149,841.72/x
  3. Step 3: Cross multiply
    264,559.79x = 365,101.77 × 149,841.72
  4. Step 4: Simplify right side
    264,559.79x = 54,707,477,191.84
  5. Step 5: Solve for x
    x = 54,707,477,191.84/264,559.79
  6. Step 6: Final answer
    x = 206,786.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.