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Finding the Fourth Proportional to 257,498.39, 355,344.05 and 142,777.24

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Solution

The fourth proportional to 257,498.39, 355,344.05 and 142,777.24 is: 197,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,498.39 : 355,344.05 = 142,777.24 : x
  2. Step 2: Convert to fraction form
    257,498.39/355,344.05 = 142,777.24/x
  3. Step 3: Cross multiply
    257,498.39x = 355,344.05 × 142,777.24
  4. Step 4: Simplify right side
    257,498.39x = 50,735,042,178.01
  5. Step 5: Solve for x
    x = 50,735,042,178.01/257,498.39
  6. Step 6: Final answer
    x = 197,030.52

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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.