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Finding the Fourth Proportional to 202,752.30, 304,059.26 and 82,790.57

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Solution

The fourth proportional to 202,752.30, 304,059.26 and 82,790.57 is: 124,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,752.30 : 304,059.26 = 82,790.57 : x
  2. Step 2: Convert to fraction form
    202,752.30/304,059.26 = 82,790.57/x
  3. Step 3: Cross multiply
    202,752.30x = 304,059.26 × 82,790.57
  4. Step 4: Simplify right side
    202,752.30x = 25,173,239,449.18
  5. Step 5: Solve for x
    x = 25,173,239,449.18/202,752.30
  6. Step 6: Final answer
    x = 124,157.60

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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.