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Finding the Fourth Proportional to 161,538, 242,309.20 and 50,730

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Solution

The fourth proportional to 161,538, 242,309.20 and 50,730 is: 76,095.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,538 : 242,309.20 = 50,730 : x
  2. Step 2: Convert to fraction form
    161,538/242,309.20 = 50,730/x
  3. Step 3: Cross multiply
    161,538x = 242,309.20 × 50,730
  4. Step 4: Simplify right side
    161,538x = 12,292,345,716
  5. Step 5: Solve for x
    x = 12,292,345,716/161,538
  6. Step 6: Final answer
    x = 76,095.69

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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.