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Finding the Fourth Proportional to 257,142.12, 354,848.28 and 142,416.21

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Solution

The fourth proportional to 257,142.12, 354,848.28 and 142,416.21 is: 196,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,142.12 : 354,848.28 = 142,416.21 : x
  2. Step 2: Convert to fraction form
    257,142.12/354,848.28 = 142,416.21/x
  3. Step 3: Cross multiply
    257,142.12x = 354,848.28 × 142,416.21
  4. Step 4: Simplify right side
    257,142.12x = 50,536,147,162.62
  5. Step 5: Solve for x
    x = 50,536,147,162.62/257,142.12
  6. Step 6: Final answer
    x = 196,530.02

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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.