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Finding the Fourth Proportional to 225,106.92, 337,578.12 and 98,659.98

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Solution

The fourth proportional to 225,106.92, 337,578.12 and 98,659.98 is: 147,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,106.92 : 337,578.12 = 98,659.98 : x
  2. Step 2: Convert to fraction form
    225,106.92/337,578.12 = 98,659.98/x
  3. Step 3: Cross multiply
    225,106.92x = 337,578.12 × 98,659.98
  4. Step 4: Simplify right side
    225,106.92x = 33,305,450,567.64
  5. Step 5: Solve for x
    x = 33,305,450,567.64/225,106.92
  6. Step 6: Final answer
    x = 147,953.92

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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.