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Finding the Fourth Proportional to 161,738.48, 242,599.42 and 61,891

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Solution

The fourth proportional to 161,738.48, 242,599.42 and 61,891 is: 92,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,738.48 : 242,599.42 = 61,891 : x
  2. Step 2: Convert to fraction form
    161,738.48/242,599.42 = 61,891/x
  3. Step 3: Cross multiply
    161,738.48x = 242,599.42 × 61,891
  4. Step 4: Simplify right side
    161,738.48x = 15,014,720,703.22
  5. Step 5: Solve for x
    x = 15,014,720,703.22/161,738.48
  6. Step 6: Final answer
    x = 92,833.32

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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.