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Finding the Fourth Proportional to 257,202.17, 354,935.15 and 142,480.45

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Solution

The fourth proportional to 257,202.17, 354,935.15 and 142,480.45 is: 196,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,202.17 : 354,935.15 = 142,480.45 : x
  2. Step 2: Convert to fraction form
    257,202.17/354,935.15 = 142,480.45/x
  3. Step 3: Cross multiply
    257,202.17x = 354,935.15 × 142,480.45
  4. Step 4: Simplify right side
    257,202.17x = 50,571,320,158.39
  5. Step 5: Solve for x
    x = 50,571,320,158.39/257,202.17
  6. Step 6: Final answer
    x = 196,620.89

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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.