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Finding the Fourth Proportional to 124,411.32, 171,781.74 and 82,029.24

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Solution

The fourth proportional to 124,411.32, 171,781.74 and 82,029.24 is: 113,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,411.32 : 171,781.74 = 82,029.24 : x
  2. Step 2: Convert to fraction form
    124,411.32/171,781.74 = 82,029.24/x
  3. Step 3: Cross multiply
    124,411.32x = 171,781.74 × 82,029.24
  4. Step 4: Simplify right side
    124,411.32x = 14,091,125,578.08
  5. Step 5: Solve for x
    x = 14,091,125,578.08/124,411.32
  6. Step 6: Final answer
    x = 113,262.41

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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.