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Finding the Fourth Proportional to 161,697.92, 242,099.04 and 82,641.92

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Solution

The fourth proportional to 161,697.92, 242,099.04 and 82,641.92 is: 123,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,697.92 : 242,099.04 = 82,641.92 : x
  2. Step 2: Convert to fraction form
    161,697.92/242,099.04 = 82,641.92/x
  3. Step 3: Cross multiply
    161,697.92x = 242,099.04 × 82,641.92
  4. Step 4: Simplify right side
    161,697.92x = 20,007,529,495.76
  5. Step 5: Solve for x
    x = 20,007,529,495.76/161,697.92
  6. Step 6: Final answer
    x = 123,733.99

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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.