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Finding the Fourth Proportional to 221,574.96, 305,769.53 and 126,079.61

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Solution

The fourth proportional to 221,574.96, 305,769.53 and 126,079.61 is: 173,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,574.96 : 305,769.53 = 126,079.61 : x
  2. Step 2: Convert to fraction form
    221,574.96/305,769.53 = 126,079.61/x
  3. Step 3: Cross multiply
    221,574.96x = 305,769.53 × 126,079.61
  4. Step 4: Simplify right side
    221,574.96x = 38,551,301,878.63
  5. Step 5: Solve for x
    x = 38,551,301,878.63/221,574.96
  6. Step 6: Final answer
    x = 173,987.63

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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.