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Finding the Fourth Proportional to 252,110.10, 378,165.15 and 195,029.40

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Solution

The fourth proportional to 252,110.10, 378,165.15 and 195,029.40 is: 292,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,110.10 : 378,165.15 = 195,029.40 : x
  2. Step 2: Convert to fraction form
    252,110.10/378,165.15 = 195,029.40/x
  3. Step 3: Cross multiply
    252,110.10x = 378,165.15 × 195,029.40
  4. Step 4: Simplify right side
    252,110.10x = 73,753,322,305.41
  5. Step 5: Solve for x
    x = 73,753,322,305.41/252,110.10
  6. Step 6: Final answer
    x = 292,544.10

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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.