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Finding the Fourth Proportional to 164,082.40, 246,123.60 and 137,838.40

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Solution

The fourth proportional to 164,082.40, 246,123.60 and 137,838.40 is: 206,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082.40 : 246,123.60 = 137,838.40 : x
  2. Step 2: Convert to fraction form
    164,082.40/246,123.60 = 137,838.40/x
  3. Step 3: Cross multiply
    164,082.40x = 246,123.60 × 137,838.40
  4. Step 4: Simplify right side
    164,082.40x = 33,925,283,226.24
  5. Step 5: Solve for x
    x = 33,925,283,226.24/164,082.40
  6. Step 6: Final answer
    x = 206,757.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.