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Finding the Fourth Proportional to 217,419.84, 299,912.28 and 136,719.60

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Solution

The fourth proportional to 217,419.84, 299,912.28 and 136,719.60 is: 188,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,419.84 : 299,912.28 = 136,719.60 : x
  2. Step 2: Convert to fraction form
    217,419.84/299,912.28 = 136,719.60/x
  3. Step 3: Cross multiply
    217,419.84x = 299,912.28 × 136,719.60
  4. Step 4: Simplify right side
    217,419.84x = 41,003,886,956.69
  5. Step 5: Solve for x
    x = 41,003,886,956.69/217,419.84
  6. Step 6: Final answer
    x = 188,593.12

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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.