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Finding the Fourth Proportional to 221,251.96, 305,254.74 and 125,723.80

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Solution

The fourth proportional to 221,251.96, 305,254.74 and 125,723.80 is: 173,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,251.96 : 305,254.74 = 125,723.80 : x
  2. Step 2: Convert to fraction form
    221,251.96/305,254.74 = 125,723.80/x
  3. Step 3: Cross multiply
    221,251.96x = 305,254.74 × 125,723.80
  4. Step 4: Simplify right side
    221,251.96x = 38,377,785,880.81
  5. Step 5: Solve for x
    x = 38,377,785,880.81/221,251.96
  6. Step 6: Final answer
    x = 173,457.38

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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.