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Finding the Fourth Proportional to 252,110.40, 378,165.60 and 111,883.20

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Solution

The fourth proportional to 252,110.40, 378,165.60 and 111,883.20 is: 167,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,110.40 : 378,165.60 = 111,883.20 : x
  2. Step 2: Convert to fraction form
    252,110.40/378,165.60 = 111,883.20/x
  3. Step 3: Cross multiply
    252,110.40x = 378,165.60 × 111,883.20
  4. Step 4: Simplify right side
    252,110.40x = 42,310,377,457.92
  5. Step 5: Solve for x
    x = 42,310,377,457.92/252,110.40
  6. Step 6: Final answer
    x = 167,824.80

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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.