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Finding the Fourth Proportional to 117,403.92, 161,993.70 and 74,400.30

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Solution

The fourth proportional to 117,403.92, 161,993.70 and 74,400.30 is: 102,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,403.92 : 161,993.70 = 74,400.30 : x
  2. Step 2: Convert to fraction form
    117,403.92/161,993.70 = 74,400.30/x
  3. Step 3: Cross multiply
    117,403.92x = 161,993.70 × 74,400.30
  4. Step 4: Simplify right side
    117,403.92x = 12,052,379,878.11
  5. Step 5: Solve for x
    x = 12,052,379,878.11/117,403.92
  6. Step 6: Final answer
    x = 102,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.