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Finding the Fourth Proportional to 257,910.37, 355,941.89 and 144,733.57

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Solution

The fourth proportional to 257,910.37, 355,941.89 and 144,733.57 is: 199,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,910.37 : 355,941.89 = 144,733.57 : x
  2. Step 2: Convert to fraction form
    257,910.37/355,941.89 = 144,733.57/x
  3. Step 3: Cross multiply
    257,910.37x = 355,941.89 × 144,733.57
  4. Step 4: Simplify right side
    257,910.37x = 51,516,740,452.25
  5. Step 5: Solve for x
    x = 51,516,740,452.25/257,910.37
  6. Step 6: Final answer
    x = 199,746.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.