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Finding the Fourth Proportional to 257,905.37, 355,934.99 and 144,728.57

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Solution

The fourth proportional to 257,905.37, 355,934.99 and 144,728.57 is: 199,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,905.37 : 355,934.99 = 144,728.57 : x
  2. Step 2: Convert to fraction form
    257,905.37/355,934.99 = 144,728.57/x
  3. Step 3: Cross multiply
    257,905.37x = 355,934.99 × 144,728.57
  4. Step 4: Simplify right side
    257,905.37x = 51,513,961,392.02
  5. Step 5: Solve for x
    x = 51,513,961,392.02/257,905.37
  6. Step 6: Final answer
    x = 199,739.78

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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.