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Finding the Fourth Proportional to 257,854.25, 355,845 and 144,685.37

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Solution

The fourth proportional to 257,854.25, 355,845 and 144,685.37 is: 199,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.25 : 355,845 = 144,685.37 : x
  2. Step 2: Convert to fraction form
    257,854.25/355,845 = 144,685.37/x
  3. Step 3: Cross multiply
    257,854.25x = 355,845 × 144,685.37
  4. Step 4: Simplify right side
    257,854.25x = 51,485,565,487.65
  5. Step 5: Solve for x
    x = 51,485,565,487.65/257,854.25
  6. Step 6: Final answer
    x = 199,669.25

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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.