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Finding the Fourth Proportional to 257,004.72, 354,660.84 and 142,276.68

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Solution

The fourth proportional to 257,004.72, 354,660.84 and 142,276.68 is: 196,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,004.72 : 354,660.84 = 142,276.68 : x
  2. Step 2: Convert to fraction form
    257,004.72/354,660.84 = 142,276.68/x
  3. Step 3: Cross multiply
    257,004.72x = 354,660.84 × 142,276.68
  4. Step 4: Simplify right side
    257,004.72x = 50,459,966,841.21
  5. Step 5: Solve for x
    x = 50,459,966,841.21/257,004.72
  6. Step 6: Final answer
    x = 196,338.68

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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.