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Finding the Fourth Proportional to 257,194.96, 354,919.26 and 144,012.04

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Solution

The fourth proportional to 257,194.96, 354,919.26 and 144,012.04 is: 198,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,194.96 : 354,919.26 = 144,012.04 : x
  2. Step 2: Convert to fraction form
    257,194.96/354,919.26 = 144,012.04/x
  3. Step 3: Cross multiply
    257,194.96x = 354,919.26 × 144,012.04
  4. Step 4: Simplify right side
    257,194.96x = 51,112,646,667.89
  5. Step 5: Solve for x
    x = 51,112,646,667.89/257,194.96
  6. Step 6: Final answer
    x = 198,731.14

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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.