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Finding the Fourth Proportional to 264,841.50, 365,511.72 and 157,410.48

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Solution

The fourth proportional to 264,841.50, 365,511.72 and 157,410.48 is: 217,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,841.50 : 365,511.72 = 157,410.48 : x
  2. Step 2: Convert to fraction form
    264,841.50/365,511.72 = 157,410.48/x
  3. Step 3: Cross multiply
    264,841.50x = 365,511.72 × 157,410.48
  4. Step 4: Simplify right side
    264,841.50x = 57,535,375,290.83
  5. Step 5: Solve for x
    x = 57,535,375,290.83/264,841.50
  6. Step 6: Final answer
    x = 217,244.56

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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.