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Finding the Fourth Proportional to 295,938.86, 408,297.59 and 166,861.11

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Solution

The fourth proportional to 295,938.86, 408,297.59 and 166,861.11 is: 230,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,938.86 : 408,297.59 = 166,861.11 : x
  2. Step 2: Convert to fraction form
    295,938.86/408,297.59 = 166,861.11/x
  3. Step 3: Cross multiply
    295,938.86x = 408,297.59 × 166,861.11
  4. Step 4: Simplify right side
    295,938.86x = 68,128,989,077.72
  5. Step 5: Solve for x
    x = 68,128,989,077.72/295,938.86
  6. Step 6: Final answer
    x = 230,213.06

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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.