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Finding the Fourth Proportional to 461,161.34, 691,763.22 and 141,290.30

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Solution

The fourth proportional to 461,161.34, 691,763.22 and 141,290.30 is: 211,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,161.34 : 691,763.22 = 141,290.30 : x
  2. Step 2: Convert to fraction form
    461,161.34/691,763.22 = 141,290.30/x
  3. Step 3: Cross multiply
    461,161.34x = 691,763.22 × 141,290.30
  4. Step 4: Simplify right side
    461,161.34x = 97,739,432,882.77
  5. Step 5: Solve for x
    x = 97,739,432,882.77/461,161.34
  6. Step 6: Final answer
    x = 211,941.95

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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.