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Finding the Fourth Proportional to 257,689.56, 386,216.19 and 186,855.33

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Solution

The fourth proportional to 257,689.56, 386,216.19 and 186,855.33 is: 280,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,689.56 : 386,216.19 = 186,855.33 : x
  2. Step 2: Convert to fraction form
    257,689.56/386,216.19 = 186,855.33/x
  3. Step 3: Cross multiply
    257,689.56x = 386,216.19 × 186,855.33
  4. Step 4: Simplify right side
    257,689.56x = 72,166,553,633.79
  5. Step 5: Solve for x
    x = 72,166,553,633.79/257,689.56
  6. Step 6: Final answer
    x = 280,052.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.