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Finding the Fourth Proportional to 106,194.92, 146,525.46 and 61,457

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Solution

The fourth proportional to 106,194.92, 146,525.46 and 61,457 is: 84,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,194.92 : 146,525.46 = 61,457 : x
  2. Step 2: Convert to fraction form
    106,194.92/146,525.46 = 61,457/x
  3. Step 3: Cross multiply
    106,194.92x = 146,525.46 × 61,457
  4. Step 4: Simplify right side
    106,194.92x = 9,005,015,195.22
  5. Step 5: Solve for x
    x = 9,005,015,195.22/106,194.92
  6. Step 6: Final answer
    x = 84,797.04

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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.