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Finding the Fourth Proportional to 202,511.30, 303,329.55 and 176,267.30

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Solution

The fourth proportional to 202,511.30, 303,329.55 and 176,267.30 is: 264,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,511.30 : 303,329.55 = 176,267.30 : x
  2. Step 2: Convert to fraction form
    202,511.30/303,329.55 = 176,267.30/x
  3. Step 3: Cross multiply
    202,511.30x = 303,329.55 × 176,267.30
  4. Step 4: Simplify right side
    202,511.30x = 53,467,080,788.72
  5. Step 5: Solve for x
    x = 53,467,080,788.72/202,511.30
  6. Step 6: Final answer
    x = 264,020.23

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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.