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Finding the Fourth Proportional to 161,604, 242,432.26 and 47,763.36

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Solution

The fourth proportional to 161,604, 242,432.26 and 47,763.36 is: 71,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,604 : 242,432.26 = 47,763.36 : x
  2. Step 2: Convert to fraction form
    161,604/242,432.26 = 47,763.36/x
  3. Step 3: Cross multiply
    161,604x = 242,432.26 × 47,763.36
  4. Step 4: Simplify right side
    161,604x = 11,579,379,309.99
  5. Step 5: Solve for x
    x = 11,579,379,309.99/161,604
  6. Step 6: Final answer
    x = 71,652.80

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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.