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Finding the Fourth Proportional to 257,537.66, 355,392.09 and 142,821.02

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Solution

The fourth proportional to 257,537.66, 355,392.09 and 142,821.02 is: 197,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,537.66 : 355,392.09 = 142,821.02 : x
  2. Step 2: Convert to fraction form
    257,537.66/355,392.09 = 142,821.02/x
  3. Step 3: Cross multiply
    257,537.66x = 355,392.09 × 142,821.02
  4. Step 4: Simplify right side
    257,537.66x = 50,757,460,793.73
  5. Step 5: Solve for x
    x = 50,757,460,793.73/257,537.66
  6. Step 6: Final answer
    x = 197,087.53

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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.