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Finding the Fourth Proportional to 163,053.92, 225,046.68 and 105,764.24

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Solution

The fourth proportional to 163,053.92, 225,046.68 and 105,764.24 is: 145,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,053.92 : 225,046.68 = 105,764.24 : x
  2. Step 2: Convert to fraction form
    163,053.92/225,046.68 = 105,764.24/x
  3. Step 3: Cross multiply
    163,053.92x = 225,046.68 × 105,764.24
  4. Step 4: Simplify right side
    163,053.92x = 23,801,891,074.72
  5. Step 5: Solve for x
    x = 23,801,891,074.72/163,053.92
  6. Step 6: Final answer
    x = 145,975.58

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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.