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Finding the Fourth Proportional to 208,038.30, 311,620.05 and 173,046.30

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Solution

The fourth proportional to 208,038.30, 311,620.05 and 173,046.30 is: 259,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,038.30 : 311,620.05 = 173,046.30 : x
  2. Step 2: Convert to fraction form
    208,038.30/311,620.05 = 173,046.30/x
  3. Step 3: Cross multiply
    208,038.30x = 311,620.05 × 173,046.30
  4. Step 4: Simplify right side
    208,038.30x = 53,924,696,658.32
  5. Step 5: Solve for x
    x = 53,924,696,658.32/208,038.30
  6. Step 6: Final answer
    x = 259,205.62

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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.