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Finding the Fourth Proportional to 206,590.75, 310,017.21 and 88,262.98

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Solution

The fourth proportional to 206,590.75, 310,017.21 and 88,262.98 is: 132,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,590.75 : 310,017.21 = 88,262.98 : x
  2. Step 2: Convert to fraction form
    206,590.75/310,017.21 = 88,262.98/x
  3. Step 3: Cross multiply
    206,590.75x = 310,017.21 × 88,262.98
  4. Step 4: Simplify right side
    206,590.75x = 27,363,042,805.89
  5. Step 5: Solve for x
    x = 27,363,042,805.89/206,590.75
  6. Step 6: Final answer
    x = 132,450.47

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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.