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Finding the Fourth Proportional to 221,343.84, 305,742.60 and 179,061.84

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Solution

The fourth proportional to 221,343.84, 305,742.60 and 179,061.84 is: 247,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,343.84 : 305,742.60 = 179,061.84 : x
  2. Step 2: Convert to fraction form
    221,343.84/305,742.60 = 179,061.84/x
  3. Step 3: Cross multiply
    221,343.84x = 305,742.60 × 179,061.84
  4. Step 4: Simplify right side
    221,343.84x = 54,746,832,522.38
  5. Step 5: Solve for x
    x = 54,746,832,522.38/221,343.84
  6. Step 6: Final answer
    x = 247,338.41

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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.