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Finding the Fourth Proportional to 113,718.16, 170,493 and 54,497.44

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Solution

The fourth proportional to 113,718.16, 170,493 and 54,497.44 is: 81,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,718.16 : 170,493 = 54,497.44 : x
  2. Step 2: Convert to fraction form
    113,718.16/170,493 = 54,497.44/x
  3. Step 3: Cross multiply
    113,718.16x = 170,493 × 54,497.44
  4. Step 4: Simplify right side
    113,718.16x = 9,291,432,037.92
  5. Step 5: Solve for x
    x = 9,291,432,037.92/113,718.16
  6. Step 6: Final answer
    x = 81,705.79

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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.