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Finding the Fourth Proportional to 219,195.30, 328,825.80 and 92,835.30

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Solution

The fourth proportional to 219,195.30, 328,825.80 and 92,835.30 is: 139,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,195.30 : 328,825.80 = 92,835.30 : x
  2. Step 2: Convert to fraction form
    219,195.30/328,825.80 = 92,835.30/x
  3. Step 3: Cross multiply
    219,195.30x = 328,825.80 × 92,835.30
  4. Step 4: Simplify right side
    219,195.30x = 30,526,641,790.74
  5. Step 5: Solve for x
    x = 30,526,641,790.74/219,195.30
  6. Step 6: Final answer
    x = 139,266.86

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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.