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Finding the Fourth Proportional to 257,910.26, 355,916.36 and 144,733.01

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Solution

The fourth proportional to 257,910.26, 355,916.36 and 144,733.01 is: 199,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,910.26 : 355,916.36 = 144,733.01 : x
  2. Step 2: Convert to fraction form
    257,910.26/355,916.36 = 144,733.01/x
  3. Step 3: Cross multiply
    257,910.26x = 355,916.36 × 144,733.01
  4. Step 4: Simplify right side
    257,910.26x = 51,512,845,367.38
  5. Step 5: Solve for x
    x = 51,512,845,367.38/257,910.26
  6. Step 6: Final answer
    x = 199,731.66

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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.