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Finding the Fourth Proportional to 204,020.10, 306,030.15 and 190,023.30

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Solution

The fourth proportional to 204,020.10, 306,030.15 and 190,023.30 is: 285,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,020.10 : 306,030.15 = 190,023.30 : x
  2. Step 2: Convert to fraction form
    204,020.10/306,030.15 = 190,023.30/x
  3. Step 3: Cross multiply
    204,020.10x = 306,030.15 × 190,023.30
  4. Step 4: Simplify right side
    204,020.10x = 58,152,859,002.50
  5. Step 5: Solve for x
    x = 58,152,859,002.50/204,020.10
  6. Step 6: Final answer
    x = 285,034.95

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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.