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Finding the Fourth Proportional to 171,844.40, 257,547.90 and 82,906.40

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Solution

The fourth proportional to 171,844.40, 257,547.90 and 82,906.40 is: 124,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,844.40 : 257,547.90 = 82,906.40 : x
  2. Step 2: Convert to fraction form
    171,844.40/257,547.90 = 82,906.40/x
  3. Step 3: Cross multiply
    171,844.40x = 257,547.90 × 82,906.40
  4. Step 4: Simplify right side
    171,844.40x = 21,352,369,216.56
  5. Step 5: Solve for x
    x = 21,352,369,216.56/171,844.40
  6. Step 6: Final answer
    x = 124,254.09

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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.