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Finding the Fourth Proportional to 257,458.68, 355,287 and 142,736.76

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Solution

The fourth proportional to 257,458.68, 355,287 and 142,736.76 is: 196,973.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,458.68 : 355,287 = 142,736.76 : x
  2. Step 2: Convert to fraction form
    257,458.68/355,287 = 142,736.76/x
  3. Step 3: Cross multiply
    257,458.68x = 355,287 × 142,736.76
  4. Step 4: Simplify right side
    257,458.68x = 50,712,515,250.12
  5. Step 5: Solve for x
    x = 50,712,515,250.12/257,458.68
  6. Step 6: Final answer
    x = 196,973.41

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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.