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Finding the Fourth Proportional to 221,811.75, 306,106.34 and 135,769.01

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Solution

The fourth proportional to 221,811.75, 306,106.34 and 135,769.01 is: 187,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,811.75 : 306,106.34 = 135,769.01 : x
  2. Step 2: Convert to fraction form
    221,811.75/306,106.34 = 135,769.01/x
  3. Step 3: Cross multiply
    221,811.75x = 306,106.34 × 135,769.01
  4. Step 4: Simplify right side
    221,811.75x = 41,559,752,527.15
  5. Step 5: Solve for x
    x = 41,559,752,527.15/221,811.75
  6. Step 6: Final answer
    x = 187,364.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.