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Finding the Fourth Proportional to 161,523, 242,294.22 and 50,715

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Solution

The fourth proportional to 161,523, 242,294.22 and 50,715 is: 76,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,523 : 242,294.22 = 50,715 : x
  2. Step 2: Convert to fraction form
    161,523/242,294.22 = 50,715/x
  3. Step 3: Cross multiply
    161,523x = 242,294.22 × 50,715
  4. Step 4: Simplify right side
    161,523x = 12,287,951,367.30
  5. Step 5: Solve for x
    x = 12,287,951,367.30/161,523
  6. Step 6: Final answer
    x = 76,075.55

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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.