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Finding the Fourth Proportional to 124,632.84, 171,862.38 and 82,137

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Solution

The fourth proportional to 124,632.84, 171,862.38 and 82,137 is: 113,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,632.84 : 171,862.38 = 82,137 : x
  2. Step 2: Convert to fraction form
    124,632.84/171,862.38 = 82,137/x
  3. Step 3: Cross multiply
    124,632.84x = 171,862.38 × 82,137
  4. Step 4: Simplify right side
    124,632.84x = 14,116,260,306.06
  5. Step 5: Solve for x
    x = 14,116,260,306.06/124,632.84
  6. Step 6: Final answer
    x = 113,262.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.