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Finding the Fourth Proportional to 257,100.14, 354,818.68 and 189,426.26

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Solution

The fourth proportional to 257,100.14, 354,818.68 and 189,426.26 is: 261,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,100.14 : 354,818.68 = 189,426.26 : x
  2. Step 2: Convert to fraction form
    257,100.14/354,818.68 = 189,426.26/x
  3. Step 3: Cross multiply
    257,100.14x = 354,818.68 × 189,426.26
  4. Step 4: Simplify right side
    257,100.14x = 67,211,975,530.54
  5. Step 5: Solve for x
    x = 67,211,975,530.54/257,100.14
  6. Step 6: Final answer
    x = 261,423.33

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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.