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Finding the Fourth Proportional to 161,609.49, 242,428.05 and 49,314.96

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Solution

The fourth proportional to 161,609.49, 242,428.05 and 49,314.96 is: 73,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,609.49 : 242,428.05 = 49,314.96 : x
  2. Step 2: Convert to fraction form
    161,609.49/242,428.05 = 49,314.96/x
  3. Step 3: Cross multiply
    161,609.49x = 242,428.05 × 49,314.96
  4. Step 4: Simplify right side
    161,609.49x = 11,955,329,588.63
  5. Step 5: Solve for x
    x = 11,955,329,588.63/161,609.49
  6. Step 6: Final answer
    x = 73,976.66

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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.