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Finding the Fourth Proportional to 206,089.54, 309,178.66 and 63,931.98

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Solution

The fourth proportional to 206,089.54, 309,178.66 and 63,931.98 is: 95,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.54 : 309,178.66 = 63,931.98 : x
  2. Step 2: Convert to fraction form
    206,089.54/309,178.66 = 63,931.98/x
  3. Step 3: Cross multiply
    206,089.54x = 309,178.66 × 63,931.98
  4. Step 4: Simplify right side
    206,089.54x = 19,766,403,907.55
  5. Step 5: Solve for x
    x = 19,766,403,907.55/206,089.54
  6. Step 6: Final answer
    x = 95,911.73

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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.