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Finding the Fourth Proportional to 261,039.96, 391,161.30 and 194,156.64

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Solution

The fourth proportional to 261,039.96, 391,161.30 and 194,156.64 is: 290,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,039.96 : 391,161.30 = 194,156.64 : x
  2. Step 2: Convert to fraction form
    261,039.96/391,161.30 = 194,156.64/x
  3. Step 3: Cross multiply
    261,039.96x = 391,161.30 × 194,156.64
  4. Step 4: Simplify right side
    261,039.96x = 75,946,563,706.03
  5. Step 5: Solve for x
    x = 75,946,563,706.03/261,039.96
  6. Step 6: Final answer
    x = 290,938.46

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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.