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Finding the Fourth Proportional to 206,048.10, 309,036.72 and 61,951.74

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Solution

The fourth proportional to 206,048.10, 309,036.72 and 61,951.74 is: 92,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,048.10 : 309,036.72 = 61,951.74 : x
  2. Step 2: Convert to fraction form
    206,048.10/309,036.72 = 61,951.74/x
  3. Step 3: Cross multiply
    206,048.10x = 309,036.72 × 61,951.74
  4. Step 4: Simplify right side
    206,048.10x = 19,145,361,252.85
  5. Step 5: Solve for x
    x = 19,145,361,252.85/206,048.10
  6. Step 6: Final answer
    x = 92,916.95

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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.