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Finding the Fourth Proportional to 257,189.38, 354,920.94 and 144,012.13

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Solution

The fourth proportional to 257,189.38, 354,920.94 and 144,012.13 is: 198,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,189.38 : 354,920.94 = 144,012.13 : x
  2. Step 2: Convert to fraction form
    257,189.38/354,920.94 = 144,012.13/x
  3. Step 3: Cross multiply
    257,189.38x = 354,920.94 × 144,012.13
  4. Step 4: Simplify right side
    257,189.38x = 51,112,919,663.70
  5. Step 5: Solve for x
    x = 51,112,919,663.70/257,189.38
  6. Step 6: Final answer
    x = 198,736.51

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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.