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Finding the Fourth Proportional to 221,689.92, 305,880.48 and 126,189.12

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Solution

The fourth proportional to 221,689.92, 305,880.48 and 126,189.12 is: 174,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,689.92 : 305,880.48 = 126,189.12 : x
  2. Step 2: Convert to fraction form
    221,689.92/305,880.48 = 126,189.12/x
  3. Step 3: Cross multiply
    221,689.92x = 305,880.48 × 126,189.12
  4. Step 4: Simplify right side
    221,689.92x = 38,598,788,596.38
  5. Step 5: Solve for x
    x = 38,598,788,596.38/221,689.92
  6. Step 6: Final answer
    x = 174,111.61

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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.