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Finding the Fourth Proportional to 186,394.68, 257,235.42 and 140,371.92

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Solution

The fourth proportional to 186,394.68, 257,235.42 and 140,371.92 is: 193,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,394.68 : 257,235.42 = 140,371.92 : x
  2. Step 2: Convert to fraction form
    186,394.68/257,235.42 = 140,371.92/x
  3. Step 3: Cross multiply
    186,394.68x = 257,235.42 × 140,371.92
  4. Step 4: Simplify right side
    186,394.68x = 36,108,629,797.41
  5. Step 5: Solve for x
    x = 36,108,629,797.41/186,394.68
  6. Step 6: Final answer
    x = 193,721.35

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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.