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Finding the Fourth Proportional to 257,193.96, 354,917.88 and 144,011.04

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Solution

The fourth proportional to 257,193.96, 354,917.88 and 144,011.04 is: 198,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,193.96 : 354,917.88 = 144,011.04 : x
  2. Step 2: Convert to fraction form
    257,193.96/354,917.88 = 144,011.04/x
  3. Step 3: Cross multiply
    257,193.96x = 354,917.88 × 144,011.04
  4. Step 4: Simplify right side
    257,193.96x = 51,112,093,013.40
  5. Step 5: Solve for x
    x = 51,112,093,013.40/257,193.96
  6. Step 6: Final answer
    x = 198,729.76

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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.