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Finding the Fourth Proportional to 161,903.94, 242,884.02 and 49,581.54

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Solution

The fourth proportional to 161,903.94, 242,884.02 and 49,581.54 is: 74,380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,903.94 : 242,884.02 = 49,581.54 : x
  2. Step 2: Convert to fraction form
    161,903.94/242,884.02 = 49,581.54/x
  3. Step 3: Cross multiply
    161,903.94x = 242,884.02 × 49,581.54
  4. Step 4: Simplify right side
    161,903.94x = 12,042,563,752.99
  5. Step 5: Solve for x
    x = 12,042,563,752.99/161,903.94
  6. Step 6: Final answer
    x = 74,380.92

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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.