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Finding the Fourth Proportional to 161,809.83, 242,675.81 and 49,491.02

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Solution

The fourth proportional to 161,809.83, 242,675.81 and 49,491.02 is: 74,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,809.83 : 242,675.81 = 49,491.02 : x
  2. Step 2: Convert to fraction form
    161,809.83/242,675.81 = 49,491.02/x
  3. Step 3: Cross multiply
    161,809.83x = 242,675.81 × 49,491.02
  4. Step 4: Simplify right side
    161,809.83x = 12,010,273,366.23
  5. Step 5: Solve for x
    x = 12,010,273,366.23/161,809.83
  6. Step 6: Final answer
    x = 74,224.62

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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.