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Finding the Fourth Proportional to 221,381.76, 305,585.71 and 130,738.09

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Solution

The fourth proportional to 221,381.76, 305,585.71 and 130,738.09 is: 180,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,381.76 : 305,585.71 = 130,738.09 : x
  2. Step 2: Convert to fraction form
    221,381.76/305,585.71 = 130,738.09/x
  3. Step 3: Cross multiply
    221,381.76x = 305,585.71 × 130,738.09
  4. Step 4: Simplify right side
    221,381.76x = 39,951,692,056.69
  5. Step 5: Solve for x
    x = 39,951,692,056.69/221,381.76
  6. Step 6: Final answer
    x = 180,465.15

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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.