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Finding the Fourth Proportional to 161,734.29, 242,629.68 and 55,112.58

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Solution

The fourth proportional to 161,734.29, 242,629.68 and 55,112.58 is: 82,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,734.29 : 242,629.68 = 55,112.58 : x
  2. Step 2: Convert to fraction form
    161,734.29/242,629.68 = 55,112.58/x
  3. Step 3: Cross multiply
    161,734.29x = 242,629.68 × 55,112.58
  4. Step 4: Simplify right side
    161,734.29x = 13,371,947,649.37
  5. Step 5: Solve for x
    x = 13,371,947,649.37/161,734.29
  6. Step 6: Final answer
    x = 82,678.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.